Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
54900x |
Isogeny class |
Conductor |
54900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-7504143750000 = -1 · 24 · 39 · 58 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 3 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4875,-14375] |
[a1,a2,a3,a4,a6] |
Generators |
[2304:23779:729] |
Generators of the group modulo torsion |
j |
2812160/1647 |
j-invariant |
L |
7.5555602547776 |
L(r)(E,1)/r! |
Ω |
0.4370113853748 |
Real period |
R |
8.6445805621345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18300n1 54900r1 |
Quadratic twists by: -3 5 |