Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94302cm |
Isogeny class |
Conductor |
94302 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-59433468169945896 = -1 · 23 · 36 · 139 · 312 |
Discriminant |
Eigenvalues |
2- 3- 1 1 2 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2091407,-1163677953] |
[a1,a2,a3,a4,a6] |
Generators |
[1088370402771:28964819941650:533411731] |
Generators of the group modulo torsion |
j |
-130864391533/7688 |
j-invariant |
L |
12.843572948557 |
L(r)(E,1)/r! |
Ω |
0.062770907168376 |
Real period |
R |
17.050856742314 |
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 |
10478h1 94302bc1 |
Quadratic twists by: -3 13 |