Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200fk |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-14220967500000000 = -1 · 28 · 39 · 510 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-570000,165737500] |
[a1,a2,a3,a4,a6] |
j |
-11237785600/7803 |
j-invariant |
L |
3.1370657425335 |
L(r)(E,1)/r! |
Ω |
0.39213321802327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300u1 20400da1 61200go1 |
Quadratic twists by: -4 -3 5 |