Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32946k |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
445772624292 = 22 · 35 · 176 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -4 0 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27606,-1767404] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:51:1] |
Generators of the group modulo torsion |
j |
96386901625/18468 |
j-invariant |
L |
3.6257142168125 |
L(r)(E,1)/r! |
Ω |
0.37038685197457 |
Real period |
R |
1.9577985543943 |
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 |
98838bm1 114b1 |
Quadratic twists by: -3 17 |