Atkin-Lehner |
2+ 3- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850w |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6119424 |
Modular degree for the optimal curve |
Δ |
-737686349385750000 = -1 · 24 · 32 · 56 · 178 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8352076,-9291301702] |
[a1,a2,a3,a4,a6] |
j |
-4123698682768504296625/47211926360688 |
j-invariant |
L |
1.598538089748 |
L(r)(E,1)/r! |
Ω |
0.044403853131179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4794f1 |
Quadratic twists by: 5 |