Atkin-Lehner |
3+ 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11985b |
Isogeny class |
Conductor |
11985 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2047749609375 = 38 · 58 · 17 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5316,130134] |
[a1,a2,a3,a4,a6] |
j |
16614364528991809/2047749609375 |
j-invariant |
L |
0.79850541410515 |
L(r)(E,1)/r! |
Ω |
0.79850541410515 |
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 |
35955i3 59925r3 |
Quadratic twists by: -3 5 |