Atkin-Lehner |
2+ 3- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
49608g |
Isogeny class |
Conductor |
49608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
367618812083918928 = 24 · 312 · 138 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201594,-19046783] |
[a1,a2,a3,a4,a6] |
Generators |
[-1022:17199:8] |
Generators of the group modulo torsion |
j |
77679962564196352/31517387867277 |
j-invariant |
L |
7.6439716669392 |
L(r)(E,1)/r! |
Ω |
0.23342267391955 |
Real period |
R |
4.0934175002206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99216o1 16536i1 |
Quadratic twists by: -4 -3 |