Atkin-Lehner |
2- 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
91980v |
Isogeny class |
Conductor |
91980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-579341548800 = -1 · 28 · 311 · 52 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91983,10737718] |
[a1,a2,a3,a4,a6] |
Generators |
[179:90:1] |
Generators of the group modulo torsion |
j |
-461188987116496/3104325 |
j-invariant |
L |
6.2900855998899 |
L(r)(E,1)/r! |
Ω |
0.8209790796281 |
Real period |
R |
0.63847400344015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005343 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30660x1 |
Quadratic twists by: -3 |