Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200fp |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-7931520000000 = -1 · 213 · 36 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36675,-2706750] |
[a1,a2,a3,a4,a6] |
j |
-116930169/170 |
j-invariant |
L |
2.7596827654037 |
L(r)(E,1)/r! |
Ω |
0.17248017296437 |
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 |
7650w1 6800o1 12240by1 |
Quadratic twists by: -4 -3 5 |