Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62328u |
Isogeny class |
Conductor |
62328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102144 |
Modular degree for the optimal curve |
Δ |
19402659903312 = 24 · 34 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -1 1 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8003,-178830] |
[a1,a2,a3,a4,a6] |
j |
12544000/4293 |
j-invariant |
L |
4.15036898491 |
L(r)(E,1)/r! |
Ω |
0.5187961237242 |
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 |
124656l1 62328b1 |
Quadratic twists by: -4 -7 |