Atkin-Lehner |
3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105by |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1671168 |
Modular degree for the optimal curve |
Δ |
-1204842884258988975 = -1 · 3 · 52 · 78 · 118 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-190366,-61749325] |
[a1,a2,a3,a4,a6] |
j |
-6484907238722641/10240995539775 |
j-invariant |
L |
0.86637887134098 |
L(r)(E,1)/r! |
Ω |
0.10829743926191 |
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 |
15015g1 |
Quadratic twists by: -7 |