Atkin-Lehner |
2- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
57680x |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110976 |
Modular degree for the optimal curve |
Δ |
-13547937464320 = -1 · 229 · 5 · 72 · 103 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 3 3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5080,-227052] |
[a1,a2,a3,a4,a6] |
Generators |
[227:3220:1] |
Generators of the group modulo torsion |
j |
-3540302642521/3307601920 |
j-invariant |
L |
5.0496509680418 |
L(r)(E,1)/r! |
Ω |
0.27228928545231 |
Real period |
R |
4.6362923902318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210b1 |
Quadratic twists by: -4 |