Atkin-Lehner |
5+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
33475a |
Isogeny class |
Conductor |
33475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-271984375 = -1 · 56 · 132 · 103 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 6 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55,822] |
[a1,a2,a3,a4,a6] |
j |
-1157625/17407 |
j-invariant |
L |
1.4719474015773 |
L(r)(E,1)/r! |
Ω |
1.4719474015754 |
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 |
1339b1 |
Quadratic twists by: 5 |