Atkin-Lehner |
2- 3- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91080bw |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-67882360614750000 = -1 · 24 · 36 · 56 · 113 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-194382,-35287731] |
[a1,a2,a3,a4,a6] |
j |
-69637687367215104/5819818296875 |
j-invariant |
L |
2.7154755497656 |
L(r)(E,1)/r! |
Ω |
0.11314481614812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10120b1 |
Quadratic twists by: -3 |