Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416bu |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-662453093772288 = -1 · 210 · 313 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18600,761672] |
[a1,a2,a3,a4,a6] |
Generators |
[262:4860:1] |
Generators of the group modulo torsion |
j |
953312000000/887416803 |
j-invariant |
L |
5.7647771946928 |
L(r)(E,1)/r! |
Ω |
0.33452973435853 |
Real period |
R |
2.1540600888983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416gg1 6552f1 17472b1 |
Quadratic twists by: -4 8 -3 |