Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
66978p |
Isogeny class |
Conductor |
66978 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2380800 |
Modular degree for the optimal curve |
Δ |
-2.1114404605065E+19 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -1 -5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1072346,-480938727] |
[a1,a2,a3,a4,a6] |
Generators |
[2547:114077:1] |
Generators of the group modulo torsion |
j |
-3630961153/562176 |
j-invariant |
L |
13.508134890243 |
L(r)(E,1)/r! |
Ω |
0.07355244163487 |
Real period |
R |
2.2956639151128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22326d1 1098f1 |
Quadratic twists by: -3 61 |