Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
94640bz |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10063872 |
Modular degree for the optimal curve |
Δ |
4.2567308843172E+22 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58525883,-172047522582] |
[a1,a2,a3,a4,a6] |
Generators |
[5266700444497190537:12135809393821577150848:991921850317] |
Generators of the group modulo torsion |
j |
510408052788213/980000000 |
j-invariant |
L |
6.5847671890471 |
L(r)(E,1)/r! |
Ω |
0.054589944588247 |
Real period |
R |
30.155586509268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830s1 94640di1 |
Quadratic twists by: -4 13 |