Atkin-Lehner |
2- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
61936t |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
8118075392 = 221 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 1 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216587,-38796870] |
[a1,a2,a3,a4,a6] |
j |
5598411813720369/40448 |
j-invariant |
L |
0.44261023471941 |
L(r)(E,1)/r! |
Ω |
0.22130511834773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7742k1 61936j1 |
Quadratic twists by: -4 -7 |