Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118300k |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3231360 |
Modular degree for the optimal curve |
Δ |
-1622483577260000000 = -1 · 28 · 57 · 75 · 136 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 5 13+ 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,135200,58220500] |
[a1,a2,a3,a4,a6] |
j |
14155776/84035 |
j-invariant |
L |
0.38587508266404 |
L(r)(E,1)/r! |
Ω |
0.19293747243351 |
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 |
23660l1 700d1 |
Quadratic twists by: 5 13 |