Atkin-Lehner |
2- 3+ 11+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86526n |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-88330929591168 = -1 · 27 · 33 · 11 · 192 · 235 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 11+ -5 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12281,695065] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:272:1] [53:-464:1] |
Generators of the group modulo torsion |
j |
-7586264641998771/3271515910784 |
j-invariant |
L |
13.757376238297 |
L(r)(E,1)/r! |
Ω |
0.56599994473502 |
Real period |
R |
0.17361657725002 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86526b1 |
Quadratic twists by: -3 |