Atkin-Lehner |
2+ 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800z |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
12286080000 = 210 · 35 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-808,6788] |
[a1,a2,a3,a4,a6] |
Generators |
[38:180:1] [-22:120:1] |
Generators of the group modulo torsion |
j |
91267300/19197 |
j-invariant |
L |
12.488876571924 |
L(r)(E,1)/r! |
Ω |
1.1979940159922 |
Real period |
R |
0.17374706393534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47400u1 94800d1 |
Quadratic twists by: -4 5 |