Atkin-Lehner |
3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575n |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
6353015625 = 33 · 56 · 11 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11- -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23555,1397322] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-27:1] |
Generators of the group modulo torsion |
j |
3425878546875/15059 |
j-invariant |
L |
1.7850859557984 |
L(r)(E,1)/r! |
Ω |
1.1802261286144 |
Real period |
R |
0.75624742676817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575f1 3663b1 |
Quadratic twists by: -3 5 |