Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630l |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2946240 |
Modular degree for the optimal curve |
Δ |
-217226384825771520 = -1 · 29 · 33 · 5 · 617 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 -6 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,126436,-14251174] |
[a1,a2,a3,a4,a6] |
j |
4338722591/4216320 |
j-invariant |
L |
1.0317787561348 |
L(r)(E,1)/r! |
Ω |
0.17196306938054 |
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 |
1830k1 |
Quadratic twists by: 61 |