Atkin-Lehner |
2+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25520i |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1276000000 = -1 · 28 · 56 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60,1708] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:40:1] [2:40:1] |
Generators of the group modulo torsion |
j |
-94875856/4984375 |
j-invariant |
L |
5.8594167172014 |
L(r)(E,1)/r! |
Ω |
1.2676003764051 |
Real period |
R |
1.5408159717282 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12760e1 102080ba1 127600l1 |
Quadratic twists by: -4 8 5 |