Atkin-Lehner |
37+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128797a |
Isogeny class |
Conductor |
128797 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1560679744717 = 37 · 596 |
Discriminant |
Eigenvalues |
0 1 0 -1 -3 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6521073,6407364502] |
[a1,a2,a3,a4,a6] |
Generators |
[1474:0:1] [-54348:2880514:27] |
Generators of the group modulo torsion |
j |
727057727488000/37 |
j-invariant |
L |
11.678804924373 |
L(r)(E,1)/r! |
Ω |
0.46024661639164 |
Real period |
R |
12.687551099997 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999967749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37b2 |
Quadratic twists by: -59 |