Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96320w |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-155474377049600000 = -1 · 212 · 55 · 710 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,134348,-806304] |
[a1,a2,a3,a4,a6] |
Generators |
[202:5880:1] |
Generators of the group modulo torsion |
j |
65472267328709184/37957611584375 |
j-invariant |
L |
7.1660508606753 |
L(r)(E,1)/r! |
Ω |
0.19257603940302 |
Real period |
R |
0.74423078670475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96320q1 48160c1 |
Quadratic twists by: -4 8 |