Atkin-Lehner |
2+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22382c |
Isogeny class |
Conductor |
22382 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2916844622 = 2 · 196 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-119378,-15845954] |
[a1,a2,a3,a4,a6] |
Generators |
[-33144155:16599598:166375] |
Generators of the group modulo torsion |
j |
3999236143617/62 |
j-invariant |
L |
2.458704932174 |
L(r)(E,1)/r! |
Ω |
0.25684334060591 |
Real period |
R |
9.5727805376373 |
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 |
62a4 |
Quadratic twists by: -19 |