Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
52598x |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
267169647472 = 24 · 7 · 134 · 174 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ -4 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3185,-65889] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-256:1] [-35:82:1] |
Generators of the group modulo torsion |
j |
42782371921/3198832 |
j-invariant |
L |
8.8382493185533 |
L(r)(E,1)/r! |
Ω |
0.63851219740993 |
Real period |
R |
0.28837380849318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52598bg1 |
Quadratic twists by: 17 |