Atkin-Lehner |
2- 3+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49296v |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
100958208 = 215 · 3 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 -2 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-512,4608] |
[a1,a2,a3,a4,a6] |
Generators |
[16:16:1] [1:64:1] |
Generators of the group modulo torsion |
j |
3630961153/24648 |
j-invariant |
L |
8.6385752615843 |
L(r)(E,1)/r! |
Ω |
1.9005634993283 |
Real period |
R |
1.1363176321965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162p1 |
Quadratic twists by: -4 |