Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26520m |
Isogeny class |
Conductor |
26520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-61102080 = -1 · 211 · 33 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -1 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64,300] |
[a1,a2,a3,a4,a6] |
Generators |
[25:130:1] |
Generators of the group modulo torsion |
j |
13935742/29835 |
j-invariant |
L |
4.6646113033679 |
L(r)(E,1)/r! |
Ω |
1.3666408499316 |
Real period |
R |
3.4131946982278 |
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 |
53040t1 79560v1 |
Quadratic twists by: -4 -3 |