Atkin-Lehner |
5- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
86275v |
Isogeny class |
Conductor |
86275 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-25260452504875 = -1 · 53 · 75 · 17 · 294 |
Discriminant |
Eigenvalues |
-2 0 5- 7- -4 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-542645,153858806] |
[a1,a2,a3,a4,a6] |
Generators |
[75:10657:1] [-730:12687:1] |
Generators of the group modulo torsion |
j |
-141371255939223564288/202083620039 |
j-invariant |
L |
5.5942168212621 |
L(r)(E,1)/r! |
Ω |
0.57015888862773 |
Real period |
R |
0.2452920112632 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86275q1 |
Quadratic twists by: 5 |