Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952f |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
296356889808 = 24 · 33 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6174,-184877] |
[a1,a2,a3,a4,a6] |
j |
1492992/17 |
j-invariant |
L |
2.155841117556 |
L(r)(E,1)/r! |
Ω |
0.53896028858688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59976z1 119952k1 119952j1 |
Quadratic twists by: -4 -3 -7 |