Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304go |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-55165136589029376 = -1 · 221 · 33 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69057,-13307841] |
[a1,a2,a3,a4,a6] |
Generators |
[753:19032:1] |
Generators of the group modulo torsion |
j |
-24100657/36504 |
j-invariant |
L |
6.918184012095 |
L(r)(E,1)/r! |
Ω |
0.1397430860134 |
Real period |
R |
4.1255374820883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999155316 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304a1 30576bl1 122304gk1 |
Quadratic twists by: -4 8 -7 |