Atkin-Lehner |
2+ 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3306a |
Isogeny class |
Conductor |
3306 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
560 |
Modular degree for the optimal curve |
Δ |
-2410074 = -1 · 2 · 37 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 3 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2,-74] |
[a1,a2,a3,a4,a6] |
j |
357911/2410074 |
j-invariant |
L |
1.1935762825836 |
L(r)(E,1)/r! |
Ω |
1.1935762825836 |
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 |
26448s1 105792t1 9918m1 82650cg1 |
Quadratic twists by: -4 8 -3 5 |