Atkin-Lehner |
2+ 3- 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658bn |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
198912 |
Modular degree for the optimal curve |
Δ |
-7587850138638 = -1 · 2 · 3 · 710 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-133724] |
[a1,a2,a3,a4,a6] |
j |
-765625/26862 |
j-invariant |
L |
2.5866847712091 |
L(r)(E,1)/r! |
Ω |
0.32333564828869 |
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 |
119658b1 |
Quadratic twists by: -7 |