Atkin-Lehner |
2+ 3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
115440o |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
778240 |
Modular degree for the optimal curve |
Δ |
2840256900000000 = 28 · 310 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202660,-34954400] |
[a1,a2,a3,a4,a6] |
Generators |
[-264:280:1] |
Generators of the group modulo torsion |
j |
3595754268967314256/11094753515625 |
j-invariant |
L |
7.5312527462319 |
L(r)(E,1)/r! |
Ω |
0.22505461617935 |
Real period |
R |
4.1830139194254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012427 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57720bb1 |
Quadratic twists by: -4 |