Atkin-Lehner |
2- 5- 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350bz |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-41026562500 = -1 · 22 · 58 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 11- -3 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,112,9781] |
[a1,a2,a3,a4,a6] |
j |
397535/105028 |
j-invariant |
L |
3.5491824430766 |
L(r)(E,1)/r! |
Ω |
0.88729553652416 |
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 |
119350q1 |
Quadratic twists by: 5 |