Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990bz |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-100580130 = -1 · 2 · 39 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-383,3017] |
[a1,a2,a3,a4,a6] |
j |
-8502154921/137970 |
j-invariant |
L |
3.7898183528433 |
L(r)(E,1)/r! |
Ω |
1.8949091765478 |
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 |
15330o1 |
Quadratic twists by: -3 |