Atkin-Lehner |
3+ 5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105a |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-97254642910425 = -1 · 3 · 52 · 78 · 113 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11+ 13- -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6982,420897] |
[a1,a2,a3,a4,a6] |
j |
6528023831/16870425 |
j-invariant |
L |
1.678698573425 |
L(r)(E,1)/r! |
Ω |
0.4196745866263 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105cg1 |
Quadratic twists by: -7 |