Atkin-Lehner |
3+ 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
112749b |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3458560 |
Modular degree for the optimal curve |
Δ |
-4.7194073418929E+20 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3163024,-2405612285] |
[a1,a2,a3,a4,a6] |
j |
-86725942482563119/11695131346977 |
j-invariant |
L |
3.5956419051325 |
L(r)(E,1)/r! |
Ω |
0.056181908733647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112749u1 |
Quadratic twists by: -7 |