Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400ga |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
8833204224000000000 = 232 · 34 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -6 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-516833,2481537] |
[a1,a2,a3,a4,a6] |
j |
29819839301/17252352 |
j-invariant |
L |
0.78401895283955 |
L(r)(E,1)/r! |
Ω |
0.19600473876091 |
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 |
62400dv1 15600cr1 62400hw1 |
Quadratic twists by: -4 8 5 |