Atkin-Lehner |
2+ 3- 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32214i |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
272832 |
Modular degree for the optimal curve |
Δ |
-669678181466112 = -1 · 214 · 37 · 7 · 13 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 6 13+ -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14851,-1030696] |
[a1,a2,a3,a4,a6] |
j |
362270393789952311/669678181466112 |
j-invariant |
L |
3.7419544993414 |
L(r)(E,1)/r! |
Ω |
0.26728246423872 |
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 |
96642bv1 |
Quadratic twists by: -3 |