Atkin-Lehner |
2+ 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47328f |
Isogeny class |
Conductor |
47328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-107708417224704 = -1 · 212 · 37 · 17 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -3 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46189,3868741] |
[a1,a2,a3,a4,a6] |
j |
-2660656725586432/26296000299 |
j-invariant |
L |
2.3894171156912 |
L(r)(E,1)/r! |
Ω |
0.59735427897135 |
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 |
47328m1 94656ch1 |
Quadratic twists by: -4 8 |