Atkin-Lehner |
2- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
39760p |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
48746880 |
Modular degree for the optimal curve |
Δ |
7.1681364573384E+29 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 3 1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6733461563,-208732186530198] |
[a1,a2,a3,a4,a6] |
j |
8242878914466665907735357674769/175003331477988988713697280 |
j-invariant |
L |
1.8690408619746 |
L(r)(E,1)/r! |
Ω |
0.016687864839156 |
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 |
4970h1 |
Quadratic twists by: -4 |