Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425p |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-2731953125 = -1 · 57 · 112 · 172 |
Discriminant |
Eigenvalues |
1 -1 5+ 3 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,350,125] |
[a1,a2,a3,a4,a6] |
Generators |
[20:115:1] |
Generators of the group modulo torsion |
j |
2496791/1445 |
j-invariant |
L |
6.4552863969535 |
L(r)(E,1)/r! |
Ω |
0.85669906318683 |
Real period |
R |
1.8837672043561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10285d1 51425i1 |
Quadratic twists by: 5 -11 |