Atkin-Lehner |
3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
10251h |
Isogeny class |
Conductor |
10251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-13939365165651 = -1 · 37 · 175 · 672 |
Discriminant |
Eigenvalues |
0 3- -3 2 3 1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4944,223987] |
[a1,a2,a3,a4,a6] |
Generators |
[43:301:1] |
Generators of the group modulo torsion |
j |
-18332916908032/19121214219 |
j-invariant |
L |
3.1305762222586 |
L(r)(E,1)/r! |
Ω |
0.64114009760965 |
Real period |
R |
1.2207067667154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3417c1 |
Quadratic twists by: -3 |