Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
107604x |
Isogeny class |
Conductor |
107604 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
6780326461776 = 24 · 310 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7644,224665] |
[a1,a2,a3,a4,a6] |
Generators |
[8:405:1] |
Generators of the group modulo torsion |
j |
35995648/4941 |
j-invariant |
L |
7.6328610677403 |
L(r)(E,1)/r! |
Ω |
0.72007313391636 |
Real period |
R |
1.7666865291809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35868j1 2196d1 |
Quadratic twists by: -3 -7 |