Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13300c |
Isogeny class |
Conductor |
13300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61200 |
Modular degree for the optimal curve |
Δ |
-948019843750000 = -1 · 24 · 510 · 75 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -5 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8542,1447037] |
[a1,a2,a3,a4,a6] |
j |
441094400/6067327 |
j-invariant |
L |
2.9397477922814 |
L(r)(E,1)/r! |
Ω |
0.36746847403517 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200cx1 119700o1 13300u1 93100bf1 |
Quadratic twists by: -4 -3 5 -7 |