Atkin-Lehner |
2- 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
91080bj |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
12569040 = 24 · 33 · 5 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78,-203] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:1] [-3:2:1] |
Generators of the group modulo torsion |
j |
121485312/29095 |
j-invariant |
L |
10.547919388156 |
L(r)(E,1)/r! |
Ω |
1.6344138693741 |
Real period |
R |
3.2268202030595 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91080c1 |
Quadratic twists by: -3 |