Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120w |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
28471058000 = 24 · 53 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- 11- 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1862,-29841] |
[a1,a2,a3,a4,a6] |
j |
379275264/15125 |
j-invariant |
L |
2.1857088449897 |
L(r)(E,1)/r! |
Ω |
0.7285696150506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21560i1 880b1 |
Quadratic twists by: -4 -7 |