Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640br |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
29491200 |
Modular degree for the optimal curve |
Δ |
2.3018285831911E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-476613716,-4004732169084] |
[a1,a2,a3,a4,a6] |
Generators |
[-76005713571514370:14806042074587016:6049460207861] |
Generators of the group modulo torsion |
j |
26401417552259125806544/507547744790625 |
j-invariant |
L |
4.9165591098425 |
L(r)(E,1)/r! |
Ω |
0.032311596845431 |
Real period |
R |
19.02010267792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844225 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240b1 |
Quadratic twists by: -11 |