Atkin-Lehner |
2+ 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656g |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
97603584 = 212 · 3 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 -1 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-317,2229] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:13:1] [3:36:1] |
Generators of the group modulo torsion |
j |
862801408/23829 |
j-invariant |
L |
6.9524913028965 |
L(r)(E,1)/r! |
Ω |
1.8891816145927 |
Real period |
R |
0.92004009159231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656y1 117312ba1 |
Quadratic twists by: -4 8 |