Atkin-Lehner |
3+ 5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116025g |
Isogeny class |
Conductor |
116025 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-20503524298359375 = -1 · 310 · 57 · 7 · 133 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5625,-6885000] |
[a1,a2,a3,a4,a6] |
j |
1259362112399/1312225555095 |
j-invariant |
L |
2.1464209446158 |
L(r)(E,1)/r! |
Ω |
0.17886840070416 |
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 |
23205n1 |
Quadratic twists by: 5 |