Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51120t |
Isogeny class |
Conductor |
51120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-965947161600000000 = -1 · 216 · 312 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,35277,-47217422] |
[a1,a2,a3,a4,a6] |
Generators |
[41605:147744:125] |
Generators of the group modulo torsion |
j |
1625964918479/323493750000 |
j-invariant |
L |
5.0355077582619 |
L(r)(E,1)/r! |
Ω |
0.13125209762407 |
Real period |
R |
4.7956450310061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6390e1 17040z1 |
Quadratic twists by: -4 -3 |