Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59826a |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24742566400074822 = 2 · 32 · 1312 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-83151,5247351] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:3891:1] |
Generators of the group modulo torsion |
j |
13172681426113/5126071158 |
j-invariant |
L |
1.9763932387139 |
L(r)(E,1)/r! |
Ω |
0.34411700693541 |
Real period |
R |
2.8716878253138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4602d2 |
Quadratic twists by: 13 |