Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13050b |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-97875000 = -1 · 23 · 33 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 0 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3642,85516] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-16:1] |
Generators of the group modulo torsion |
j |
-12665630691/232 |
j-invariant |
L |
3.7081280386073 |
L(r)(E,1)/r! |
Ω |
1.7425090605427 |
Real period |
R |
1.0640197295308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400cs1 13050bb2 522h1 |
Quadratic twists by: -4 -3 5 |