Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872bn |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-3725568 = -1 · 28 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,-132] |
[a1,a2,a3,a4,a6] |
Generators |
[37:218:1] |
Generators of the group modulo torsion |
j |
-768208/297 |
j-invariant |
L |
3.3642661377674 |
L(r)(E,1)/r! |
Ω |
0.90769623597555 |
Real period |
R |
3.7063788571864 |
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 |
6468s1 103488im1 77616gj1 25872cd1 |
Quadratic twists by: -4 8 -3 -7 |