Atkin-Lehner |
2- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
57680z |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-64601600000 = -1 · 212 · 55 · 72 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -6 -4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,720,9472] |
[a1,a2,a3,a4,a6] |
Generators |
[64:-560:1] [-8:56:1] |
Generators of the group modulo torsion |
j |
10063705679/15771875 |
j-invariant |
L |
8.6105065110297 |
L(r)(E,1)/r! |
Ω |
0.75145741834111 |
Real period |
R |
0.28646022718233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3605b1 |
Quadratic twists by: -4 |