Atkin-Lehner |
2+ 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
94248g |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
356916907862178048 = 28 · 37 · 74 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11+ -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178743,-4452950] |
[a1,a2,a3,a4,a6] |
j |
3384101238719056/1912492004577 |
j-invariant |
L |
1.0010797647894 |
L(r)(E,1)/r! |
Ω |
0.25026996322812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31416p1 |
Quadratic twists by: -3 |