Atkin-Lehner |
2- 3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010bj |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
-1632967285800960 = -1 · 224 · 39 · 5 · 23 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -5 -6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-333068,74094351] |
[a1,a2,a3,a4,a6] |
Generators |
[533:-7179:1] |
Generators of the group modulo torsion |
j |
-5605233243005333881/2240009994240 |
j-invariant |
L |
5.499764886584 |
L(r)(E,1)/r! |
Ω |
0.46598095671721 |
Real period |
R |
0.122943259087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29670i1 |
Quadratic twists by: -3 |