Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344v |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
8727488 = 26 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 2 4 7+ 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,98] |
[a1,a2,a3,a4,a6] |
Generators |
[-18615:48752:3375] |
Generators of the group modulo torsion |
j |
308915776/136367 |
j-invariant |
L |
13.768202141072 |
L(r)(E,1)/r! |
Ω |
2.0854527402387 |
Real period |
R |
6.6020206791464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344be1 56672c2 |
Quadratic twists by: -4 8 |