Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950f |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102896640 |
Modular degree for the optimal curve |
Δ |
-3.537586791619E+27 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -5 5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,324288100,1771167810000] |
[a1,a2,a3,a4,a6] |
j |
41870910074901457151/39273784934400000 |
j-invariant |
L |
1.8633678975443 |
L(r)(E,1)/r! |
Ω |
0.029115118083358 |
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 |
24990bv1 124950cw1 |
Quadratic twists by: 5 -7 |