Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64980be |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
689472 |
Modular degree for the optimal curve |
Δ |
-74286104741334000 = -1 · 24 · 37 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20577,13162421] |
[a1,a2,a3,a4,a6] |
j |
-4864/375 |
j-invariant |
L |
5.1172033867481 |
L(r)(E,1)/r! |
Ω |
0.28428907678409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660d1 64980br1 |
Quadratic twists by: -3 -19 |