Atkin-Lehner |
2+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25850d |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-8272000000 = -1 · 210 · 56 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 11- -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,275,4125] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:51:1] |
Generators of the group modulo torsion |
j |
146363183/529408 |
j-invariant |
L |
5.4966606110986 |
L(r)(E,1)/r! |
Ω |
0.9301206923023 |
Real period |
R |
1.4774052057408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1034c1 |
Quadratic twists by: 5 |