Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686g |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
978432 |
Modular degree for the optimal curve |
Δ |
206826613868201418 = 2 · 37 · 73 · 1310 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -5 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1728535,-875159501] |
[a1,a2,a3,a4,a6] |
j |
12079000375/4374 |
j-invariant |
L |
0.26334156444843 |
L(r)(E,1)/r! |
Ω |
0.13167078222029 |
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 |
49686be2 49686bz1 |
Quadratic twists by: -7 13 |