Atkin-Lehner |
2+ 3- 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606o |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.8596202790865E+34 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38368165158,-7170382846955340] |
[a1,a2,a3,a4,a6] |
Generators |
[2637295521879954654315906028216059793101469846175594201081151800690256933549189210420594003152565583596369932434186011664635:5770108815954444045646932426269590397365235991250424795793129966437376544296404688832257988994171755284280465108653914661920295:549739523665828463140832500028123774854337578332140770989416912574802952441808591772300764653286621393784926719393003] |
Generators of the group modulo torsion |
j |
-8568588297856445035248081604763233/25509194500500503080879280062464 |
j-invariant |
L |
3.7509021984129 |
L(r)(E,1)/r! |
Ω |
0.0049872995362103 |
Real period |
R |
188.02270503203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20202k4 |
Quadratic twists by: -3 |