Atkin-Lehner |
3+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
25773b |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
7654581 = 34 · 113 · 71 |
Discriminant |
Eigenvalues |
0 3+ -1 -5 11+ -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-51,65] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:5:1] [-3:13:1] |
Generators of the group modulo torsion |
j |
11239424/5751 |
j-invariant |
L |
4.6003093501098 |
L(r)(E,1)/r! |
Ω |
2.0677996451236 |
Real period |
R |
0.55618412559434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77319f1 25773a1 |
Quadratic twists by: -3 -11 |