Atkin-Lehner |
2- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59780d |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
34461980378000 = 24 · 53 · 710 · 61 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15206,-659119] |
[a1,a2,a3,a4,a6] |
Generators |
[4296:25957:27] |
Generators of the group modulo torsion |
j |
86039296/7625 |
j-invariant |
L |
9.2969432915549 |
L(r)(E,1)/r! |
Ω |
0.43235891480731 |
Real period |
R |
7.1676123494098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59780h1 |
Quadratic twists by: -7 |