Atkin-Lehner |
2- 3+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
90768f |
Isogeny class |
Conductor |
90768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1244738617344 = -1 · 218 · 34 · 312 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 -1 -3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1184,50944] |
[a1,a2,a3,a4,a6] |
Generators |
[58:558:1] |
Generators of the group modulo torsion |
j |
44776693151/303891264 |
j-invariant |
L |
5.0846199512346 |
L(r)(E,1)/r! |
Ω |
0.62645483112567 |
Real period |
R |
1.0145623628926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11346g1 |
Quadratic twists by: -4 |