Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416cc |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-1502161210368 = -1 · 210 · 311 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1824,-50776] |
[a1,a2,a3,a4,a6] |
Generators |
[70:648:1] |
Generators of the group modulo torsion |
j |
899022848/2012283 |
j-invariant |
L |
5.0449468485615 |
L(r)(E,1)/r! |
Ω |
0.44031154818953 |
Real period |
R |
1.4322094404895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416go1 3276f1 17472e1 |
Quadratic twists by: -4 8 -3 |