Atkin-Lehner |
7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49147g |
Isogeny class |
Conductor |
49147 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
469728 |
Modular degree for the optimal curve |
Δ |
-4830934927111097 = -1 · 710 · 173 · 592 |
Discriminant |
Eigenvalues |
1 -1 4 7- -5 -5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8453,3353890] |
[a1,a2,a3,a4,a6] |
j |
-236513641/17102153 |
j-invariant |
L |
2.1436652931731 |
L(r)(E,1)/r! |
Ω |
0.3572775487921 |
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 |
49147a1 |
Quadratic twists by: -7 |