Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
54900r |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-480265200 = -1 · 24 · 39 · 52 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 3 -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,195,-115] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] [4:27:1] |
Generators of the group modulo torsion |
j |
2812160/1647 |
j-invariant |
L |
9.5435877835843 |
L(r)(E,1)/r! |
Ω |
0.97718716463941 |
Real period |
R |
0.81386556306102 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18300d1 54900x1 |
Quadratic twists by: -3 5 |