Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105d |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
2460944344323465 = 38 · 5 · 79 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3255928,2259953683] |
[a1,a2,a3,a4,a6] |
j |
32445917389944971641/20917681785 |
j-invariant |
L |
0.75708176315791 |
L(r)(E,1)/r! |
Ω |
0.37854082901838 |
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 |
15015w1 |
Quadratic twists by: -7 |