Atkin-Lehner |
2+ 3- 5- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170j |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
475136 |
Modular degree for the optimal curve |
Δ |
104499837262080 = 28 · 314 · 5 · 132 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12114,-143532] |
[a1,a2,a3,a4,a6] |
j |
269698827018529/143346827520 |
j-invariant |
L |
1.9336404765455 |
L(r)(E,1)/r! |
Ω |
0.48341004431256 |
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 |
39390p1 |
Quadratic twists by: -3 |