Atkin-Lehner |
2+ 3- 31- 83- |
Signs for the Atkin-Lehner involutions |
Class |
46314n |
Isogeny class |
Conductor |
46314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-2362863213504 = -1 · 26 · 315 · 31 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 0 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2952,-41472] |
[a1,a2,a3,a4,a6] |
j |
3901777377407/3241238976 |
j-invariant |
L |
3.6170778563999 |
L(r)(E,1)/r! |
Ω |
0.452134732059 |
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 |
15438o1 |
Quadratic twists by: -3 |