Atkin-Lehner |
2- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
63308i |
Isogeny class |
Conductor |
63308 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-359553227824 = -1 · 24 · 72 · 176 · 19 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 1 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9968,-384139] |
[a1,a2,a3,a4,a6] |
j |
-139711365513216/458613811 |
j-invariant |
L |
1.4331229265858 |
L(r)(E,1)/r! |
Ω |
0.23885382060647 |
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 |
63308c1 |
Quadratic twists by: -7 |