Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050h |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
453600 |
Modular degree for the optimal curve |
Δ |
-7146562500000 = -1 · 25 · 33 · 510 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15325,-747875] |
[a1,a2,a3,a4,a6] |
j |
-336886825/6048 |
j-invariant |
L |
0.21431415846978 |
L(r)(E,1)/r! |
Ω |
0.2143152978218 |
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 |
127050jh1 127050gd1 |
Quadratic twists by: 5 -11 |