Atkin-Lehner |
3+ 5+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
86775i |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
510720 |
Modular degree for the optimal curve |
Δ |
-321236982421875 = -1 · 37 · 510 · 132 · 89 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -4 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-76458,8208443] |
[a1,a2,a3,a4,a6] |
Generators |
[-154510:4037993:1000] |
Generators of the group modulo torsion |
j |
-5061720371200/32894667 |
j-invariant |
L |
11.469891746922 |
L(r)(E,1)/r! |
Ω |
0.5457783106483 |
Real period |
R |
10.507830299667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86775y1 |
Quadratic twists by: 5 |