Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328m |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
6178441459968 = 28 · 33 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62212,-5992132] |
[a1,a2,a3,a4,a6] |
Generators |
[-194051:22260:1331] |
Generators of the group modulo torsion |
j |
2211014608/513 |
j-invariant |
L |
6.9837652352722 |
L(r)(E,1)/r! |
Ω |
0.30229883876254 |
Real period |
R |
7.7007300280082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8664i1 69312cq1 51984x1 912b1 |
Quadratic twists by: -4 8 -3 -19 |