Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26640k |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-6905088000 = -1 · 211 · 36 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 3 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-3998] |
[a1,a2,a3,a4,a6] |
Generators |
[23:90:1] |
Generators of the group modulo torsion |
j |
-2/4625 |
j-invariant |
L |
4.2411187637867 |
L(r)(E,1)/r! |
Ω |
0.6088740014723 |
Real period |
R |
1.7413778357802 |
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 |
13320e1 106560fw1 2960d1 |
Quadratic twists by: -4 8 -3 |