Atkin-Lehner |
3+ 5+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025p |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-3033065724609375 = -1 · 310 · 59 · 7 · 13 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -6 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28500,3220875] |
[a1,a2,a3,a4,a6] |
j |
-163855897047361/194116206375 |
j-invariant |
L |
1.6307380338377 |
L(r)(E,1)/r! |
Ω |
0.40768434897255 |
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 |
23205k1 |
Quadratic twists by: 5 |