Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cu |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1341662427116605440 = 212 · 34 · 5 · 73 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5777450,5344285860] |
[a1,a2,a3,a4,a6] |
Generators |
[-1508:103846:1] |
Generators of the group modulo torsion |
j |
12038605770121350841/757333463040 |
j-invariant |
L |
10.12284863596 |
L(r)(E,1)/r! |
Ω |
0.2569874897079 |
Real period |
R |
3.2825361289849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76230s3 127050bd3 2310l3 |
Quadratic twists by: -3 5 -11 |