Atkin-Lehner |
2+ 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
9030a |
Isogeny class |
Conductor |
9030 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
95760 |
Modular degree for the optimal curve |
Δ |
-68388741120000000 = -1 · 219 · 3 · 57 · 7 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -1 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-105513,18186117] |
[a1,a2,a3,a4,a6] |
j |
-129911637598070951449/68388741120000000 |
j-invariant |
L |
0.96911565024815 |
L(r)(E,1)/r! |
Ω |
0.32303855008272 |
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 |
72240cn1 27090bm1 45150cv1 63210ba1 |
Quadratic twists by: -4 -3 5 -7 |