Atkin-Lehner |
2- 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
4758g |
Isogeny class |
Conductor |
4758 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5347138262544 = 24 · 312 · 132 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12129,496911] |
[a1,a2,a3,a4,a6] |
j |
197333554239943057/5347138262544 |
j-invariant |
L |
1.5223617982441 |
L(r)(E,1)/r! |
Ω |
0.76118089912203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38064bg2 14274l2 118950r2 61854e2 |
Quadratic twists by: -4 -3 5 13 |