Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608f |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
330864196608 = 210 · 38 · 113 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85098819,302157524018] |
[a1,a2,a3,a4,a6] |
Generators |
[14238251691876290:-5365066204245006:2665382989625] |
Generators of the group modulo torsion |
j |
91299169320689012753668/443223 |
j-invariant |
L |
7.0869173821629 |
L(r)(E,1)/r! |
Ω |
0.3153900626434 |
Real period |
R |
22.470325547811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29304e4 19536g3 |
Quadratic twists by: -4 -3 |