Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200cm |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18068994000000000 = 210 · 312 · 59 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-397875,96381250] |
[a1,a2,a3,a4,a6] |
j |
4777559924/12393 |
j-invariant |
L |
3.1131092859747 |
L(r)(E,1)/r! |
Ω |
0.3891386608573 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30600cs2 20400bl2 61200cd2 |
Quadratic twists by: -4 -3 5 |