Atkin-Lehner |
2+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
56672c |
Isogeny class |
Conductor |
56672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
558559232 = 212 · 72 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ -2 -4 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,559] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:28:1] [-9:44:1] |
Generators of the group modulo torsion |
j |
308915776/136367 |
j-invariant |
L |
5.0518020365472 |
L(r)(E,1)/r! |
Ω |
1.4746377744669 |
Real period |
R |
0.85644795691847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56672bc2 113344v1 |
Quadratic twists by: -4 8 |