Atkin-Lehner |
3+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285l |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
154493954657625 = 3 · 53 · 112 · 237 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11+ -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-93115,-10958920] |
[a1,a2,a3,a4,a6] |
Generators |
[-182:118:1] |
Generators of the group modulo torsion |
j |
603136942849/1043625 |
j-invariant |
L |
1.699803676944 |
L(r)(E,1)/r! |
Ω |
0.2733315450464 |
Real period |
R |
2.0729448691548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795b1 |
Quadratic twists by: -23 |