Atkin-Lehner |
5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10115i |
Isogeny class |
Conductor |
10115 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-1056036068057621875 = -1 · 55 · 77 · 177 |
Discriminant |
Eigenvalues |
2 -2 5- 7+ -6 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,125330,-46357369] |
[a1,a2,a3,a4,a6] |
j |
9019694698496/43750721875 |
j-invariant |
L |
1.3922201773415 |
L(r)(E,1)/r! |
Ω |
0.13922201773415 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91035r1 50575t1 70805o1 595b1 |
Quadratic twists by: -3 5 -7 17 |