Atkin-Lehner |
2+ 5+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
95590d |
Isogeny class |
Conductor |
95590 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1309440 |
Modular degree for the optimal curve |
Δ |
-1070251021056800000 = -1 · 28 · 55 · 118 · 792 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,254582,-5639212] |
[a1,a2,a3,a4,a6] |
Generators |
[292:9534:1] |
Generators of the group modulo torsion |
j |
8512608244151/4992800000 |
j-invariant |
L |
3.7645955659687 |
L(r)(E,1)/r! |
Ω |
0.1624101831239 |
Real period |
R |
1.9316294813258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999800586 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95590n1 |
Quadratic twists by: -11 |