Atkin-Lehner |
3- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22311a |
Isogeny class |
Conductor |
22311 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
121081797 = 36 · 37 · 672 |
Discriminant |
Eigenvalues |
-2 3- -4 5 3 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-147,436] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:33:1] |
Generators of the group modulo torsion |
j |
481890304/166093 |
j-invariant |
L |
2.4212830316172 |
L(r)(E,1)/r! |
Ω |
1.7114978564879 |
Real period |
R |
0.70735789193033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2479a1 |
Quadratic twists by: -3 |