Atkin-Lehner |
3+ 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11985b |
Isogeny class |
Conductor |
11985 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18664779825 = 32 · 52 · 17 · 474 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20446,-1133782] |
[a1,a2,a3,a4,a6] |
j |
945257450323400929/18664779825 |
j-invariant |
L |
0.79850541410515 |
L(r)(E,1)/r! |
Ω |
0.39925270705258 |
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 |
35955i4 59925r4 |
Quadratic twists by: -3 5 |