Atkin-Lehner |
2+ 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95312f |
Isogeny class |
Conductor |
95312 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-10674944 = -1 · 28 · 72 · 23 · 37 |
Discriminant |
Eigenvalues |
2+ 3 -1 7- 6 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1228,-16564] |
[a1,a2,a3,a4,a6] |
j |
-799979480064/41699 |
j-invariant |
L |
7.2584037062692 |
L(r)(E,1)/r! |
Ω |
0.40324464531122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47656g1 |
Quadratic twists by: -4 |