Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560co |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
-146596599332352000 = -1 · 212 · 33 · 53 · 139 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,93739,-14710461] |
[a1,a2,a3,a4,a6] |
j |
2097152/3375 |
j-invariant |
L |
1.0310054002592 |
L(r)(E,1)/r! |
Ω |
0.1718342333845 |
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 |
2535c1 121680fs1 40560db1 |
Quadratic twists by: -4 -3 13 |