Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288bc |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
13418496 |
Modular degree for the optimal curve |
Δ |
1.0762616374275E+24 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25789287,7059106872] |
[a1,a2,a3,a4,a6] |
Generators |
[35971496555:-22005611434443:335702375] |
Generators of the group modulo torsion |
j |
24561881874548119552/13935988007650917 |
j-invariant |
L |
8.4384597300693 |
L(r)(E,1)/r! |
Ω |
0.075057169402176 |
Real period |
R |
14.053387250999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999875432 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7176c1 |
Quadratic twists by: 13 |