Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bx |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-31726080000 = -1 · 212 · 36 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 -5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,8800] |
[a1,a2,a3,a4,a6] |
j |
-1600/17 |
j-invariant |
L |
3.9887250110442 |
L(r)(E,1)/r! |
Ω |
0.99718140549483 |
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 |
122400ei1 13600v1 122400de1 |
Quadratic twists by: -4 -3 5 |