Atkin-Lehner |
2+ 3+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312l |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3014231360864256 = 216 · 36 · 134 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51617,-3642975] |
[a1,a2,a3,a4,a6] |
j |
232076130132388/45993520521 |
j-invariant |
L |
1.2844911617409 |
L(r)(E,1)/r! |
Ω |
0.32112294082742 |
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 |
117312cz2 14664g2 |
Quadratic twists by: -4 8 |