Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64980p |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
-12117366131272560 = -1 · 24 · 319 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,31407,4843537] |
[a1,a2,a3,a4,a6] |
Generators |
[1013:32805:1] |
Generators of the group modulo torsion |
j |
2253933824/7971615 |
j-invariant |
L |
6.5152090784162 |
L(r)(E,1)/r! |
Ω |
0.28465758887442 |
Real period |
R |
1.9073234336567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660bb1 64980x1 |
Quadratic twists by: -3 -19 |