Atkin-Lehner |
2- 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
58410bt |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3070555290 = -1 · 2 · 36 · 5 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,358,451] |
[a1,a2,a3,a4,a6] |
j |
6978821031/4212010 |
j-invariant |
L |
6.9820522177828 |
L(r)(E,1)/r! |
Ω |
0.8727565280055 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6490a2 |
Quadratic twists by: -3 |