Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
3038d |
Isogeny class |
Conductor |
3038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
44319790088 = 23 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2312,-41000] |
[a1,a2,a3,a4,a6] |
Generators |
[79:475:1] |
Generators of the group modulo torsion |
j |
11619959625/376712 |
j-invariant |
L |
2.4114880741474 |
L(r)(E,1)/r! |
Ω |
0.68985284124408 |
Real period |
R |
1.7478278916693 |
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 |
24304l2 97216o2 27342bm2 75950cm2 |
Quadratic twists by: -4 8 -3 5 |