Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200gp |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-19828800000000 = -1 · 212 · 36 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -4 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10875,486250] |
[a1,a2,a3,a4,a6] |
j |
-121945/17 |
j-invariant |
L |
1.3251477913537 |
L(r)(E,1)/r! |
Ω |
0.66257389569739 |
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 |
3825l1 6800w1 61200fl1 |
Quadratic twists by: -4 -3 5 |