Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600cs |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-4492800 = -1 · 29 · 33 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 13+ -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-270] |
[a1,a2,a3,a4,a6] |
j |
-135000/13 |
j-invariant |
L |
1.6134862505396 |
L(r)(E,1)/r! |
Ω |
0.80674314926876 |
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 |
93600ct1 93600c1 93600n1 |
Quadratic twists by: -4 -3 5 |