Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
41070bf |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-474871875000 = -1 · 23 · 3 · 58 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 1 1 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1174,-29220] |
[a1,a2,a3,a4,a6] |
j |
3532642667/9375000 |
j-invariant |
L |
5.7729849376873 |
L(r)(E,1)/r! |
Ω |
0.48108207814502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210bt1 41070q1 |
Quadratic twists by: -3 37 |