Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400d |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
2716560000000 = 210 · 32 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157008,-23893488] |
[a1,a2,a3,a4,a6] |
Generators |
[2272:106500:1] |
Generators of the group modulo torsion |
j |
26752959989284/169785 |
j-invariant |
L |
4.964718323624 |
L(r)(E,1)/r! |
Ω |
0.23983857998021 |
Real period |
R |
5.1750622358038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200bm1 18480be1 |
Quadratic twists by: -4 5 |