Atkin-Lehner |
2- 3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
61008g |
Isogeny class |
Conductor |
61008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
781436318588928 = 213 · 310 · 312 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10077272,12316322928] |
[a1,a2,a3,a4,a6] |
Generators |
[78588790:-256122:42875] |
Generators of the group modulo torsion |
j |
27630754878575936215513/190780351218 |
j-invariant |
L |
7.6859992631159 |
L(r)(E,1)/r! |
Ω |
0.34657501599294 |
Real period |
R |
5.5442537028307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7626f2 |
Quadratic twists by: -4 |