Atkin-Lehner |
2+ 31- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4154a |
Isogeny class |
Conductor |
4154 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
760 |
Modular degree for the optimal curve |
Δ |
-66464 = -1 · 25 · 31 · 67 |
Discriminant |
Eigenvalues |
2+ 3 2 1 -3 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16,32] |
[a1,a2,a3,a4,a6] |
j |
-469097433/66464 |
j-invariant |
L |
3.3672936302524 |
L(r)(E,1)/r! |
Ω |
3.3672936302524 |
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 |
33232j1 37386i1 103850o1 128774a1 |
Quadratic twists by: -4 -3 5 -31 |