Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416t |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
53936064 = 26 · 33 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124851,16979940] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:5796:1] [1634:-49:8] |
Generators of the group modulo torsion |
j |
124553532612291264/31213 |
j-invariant |
L |
8.8678574096635 |
L(r)(E,1)/r! |
Ω |
1.1728516633453 |
Real period |
R |
3.7804684457576 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416j1 26208e2 52416s1 |
Quadratic twists by: -4 8 -3 |