Atkin-Lehner |
2- 3- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350cl |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1752300 = -1 · 22 · 33 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -1 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,22,-48] |
[a1,a2,a3,a4,a6] |
j |
46969655/70092 |
j-invariant |
L |
8.4199742459339 |
L(r)(E,1)/r! |
Ω |
1.4033290323066 |
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 |
97350l1 |
Quadratic twists by: 5 |