Atkin-Lehner |
2+ 5- 17- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550p |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
25522560 |
Modular degree for the optimal curve |
Δ |
-709861683200000000 = -1 · 218 · 58 · 174 · 83 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 3 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4185302326,104216602831048] |
[a1,a2,a3,a4,a6] |
Generators |
[82061369:-40596583:2197] |
Generators of the group modulo torsion |
j |
-20756024835514290213107681785/1817245908992 |
j-invariant |
L |
5.7575543579224 |
L(r)(E,1)/r! |
Ω |
0.11045562327842 |
Real period |
R |
2.171895745161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70550x1 |
Quadratic twists by: 5 |