Atkin-Lehner |
2+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672h |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2.4449852793339E+20 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11- -6 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7235875,-7453906122] |
[a1,a2,a3,a4,a6] |
Generators |
[97914:-3194378:27] |
Generators of the group modulo torsion |
j |
81832707153184078125000/477536187369908051 |
j-invariant |
L |
4.1895998120448 |
L(r)(E,1)/r! |
Ω |
0.092082990602079 |
Real period |
R |
7.5830143086464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000319 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672x2 113344h2 |
Quadratic twists by: -4 8 |