Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
45864bf |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-232521035914073088 = -1 · 210 · 316 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-857451,306485494] |
[a1,a2,a3,a4,a6] |
Generators |
[779:10548:1] |
Generators of the group modulo torsion |
j |
-38898423529252/129730653 |
j-invariant |
L |
5.3475467890768 |
L(r)(E,1)/r! |
Ω |
0.31489484962287 |
Real period |
R |
4.2455019472982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728n1 15288i1 45864br1 |
Quadratic twists by: -4 -3 -7 |