Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
94640i |
Isogeny class |
Conductor |
94640 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
144768 |
Modular degree for the optimal curve |
Δ |
-7308947260160 = -1 · 28 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 1 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8788,342732] |
[a1,a2,a3,a4,a6] |
j |
-359424/35 |
j-invariant |
L |
2.178723335385 |
L(r)(E,1)/r! |
Ω |
0.72624111528266 |
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 |
47320q1 94640t1 |
Quadratic twists by: -4 13 |