Atkin-Lehner |
2+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93632g |
Isogeny class |
Conductor |
93632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
10275550208 = 210 · 7 · 11 · 194 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 11- -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-584,-2392] |
[a1,a2,a3,a4,a6] |
j |
21511084032/10034717 |
j-invariant |
L |
1.0159389143857 |
L(r)(E,1)/r! |
Ω |
1.0159389879959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93632y1 11704e1 |
Quadratic twists by: -4 8 |