Atkin-Lehner |
2- 3- 41- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107748d |
Isogeny class |
Conductor |
107748 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
80302799748757392 = 24 · 310 · 41 · 735 |
Discriminant |
Eigenvalues |
2- 3- -2 1 5 3 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127821,11113121] |
[a1,a2,a3,a4,a6] |
j |
19800804408971008/6884670760353 |
j-invariant |
L |
2.5179778702927 |
L(r)(E,1)/r! |
Ω |
0.31474727946642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35916a1 |
Quadratic twists by: -3 |