Atkin-Lehner |
3- 5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116025bc |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
45322265625 = 3 · 510 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2626,-50977] |
[a1,a2,a3,a4,a6] |
j |
128100283921/2900625 |
j-invariant |
L |
2.6714950202608 |
L(r)(E,1)/r! |
Ω |
0.66787373659061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23205h1 |
Quadratic twists by: 5 |