Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400bl |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
523158729523200 = 218 · 38 · 52 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -5 1 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-976673,371835297] |
[a1,a2,a3,a4,a6] |
Generators |
[-1057:14904:1] [553:-736:1] |
Generators of the group modulo torsion |
j |
15721420060947505/79827687 |
j-invariant |
L |
8.4452256934223 |
L(r)(E,1)/r! |
Ω |
0.46161491211407 |
Real period |
R |
0.76228994009896 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ib1 1725o1 110400ex1 |
Quadratic twists by: -4 8 5 |