Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416ez |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-2173796352 = -1 · 215 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -5 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,78640] |
[a1,a2,a3,a4,a6] |
Generators |
[30:40:1] |
Generators of the group modulo torsion |
j |
-193100552/91 |
j-invariant |
L |
7.4107571151918 |
L(r)(E,1)/r! |
Ω |
1.4424272184407 |
Real period |
R |
1.284424791135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416gf1 26208o1 5824q1 |
Quadratic twists by: -4 8 -3 |