Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200cq |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-658800 = -1 · 24 · 33 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 3 -5 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,22,3] |
[a1,a2,a3,a4,a6] |
j |
2812160/1647 |
j-invariant |
L |
5.0776134654457 |
L(r)(E,1)/r! |
Ω |
1.6925378176596 |
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 |
18300d1 73200cd1 |
Quadratic twists by: -4 5 |