Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
57680ba |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
295321600 = 214 · 52 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-187,-534] |
[a1,a2,a3,a4,a6] |
Generators |
[15:6:1] |
Generators of the group modulo torsion |
j |
176558481/72100 |
j-invariant |
L |
6.4185934452582 |
L(r)(E,1)/r! |
Ω |
1.3380180109772 |
Real period |
R |
2.3985452334971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7210h1 |
Quadratic twists by: -4 |