Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050j |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-540409456945050 = -1 · 2 · 3 · 52 · 75 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- -5 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-155850,23643030] |
[a1,a2,a3,a4,a6] |
j |
-9452623635625/12201882 |
j-invariant |
L |
1.0371393921309 |
L(r)(E,1)/r! |
Ω |
0.51856863626741 |
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 |
127050jl1 11550bv1 |
Quadratic twists by: 5 -11 |