Atkin-Lehner |
2- 3+ 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
92430y |
Isogeny class |
Conductor |
92430 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
585775125000 = 23 · 33 · 56 · 133 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2297,21521] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:244:1] |
Generators of the group modulo torsion |
j |
49621017804723/21695375000 |
j-invariant |
L |
10.867749850131 |
L(r)(E,1)/r! |
Ω |
0.82681036010013 |
Real period |
R |
1.0953489017158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010835 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
92430a2 |
Quadratic twists by: -3 |