Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58824k |
Isogeny class |
Conductor |
58824 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
472634994595120128 = 210 · 39 · 193 · 434 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-511203,136738190] |
[a1,a2,a3,a4,a6] |
j |
19791395091964804/633138013593 |
j-invariant |
L |
1.7639894297441 |
L(r)(E,1)/r! |
Ω |
0.29399823794027 |
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 |
117648d1 19608c1 |
Quadratic twists by: -4 -3 |