Atkin-Lehner |
2- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
12410n |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-246412960000 = -1 · 28 · 54 · 172 · 732 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,719,22761] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:93:1] [-14:107:1] |
Generators of the group modulo torsion |
j |
41102915774831/246412960000 |
j-invariant |
L |
6.0310568482949 |
L(r)(E,1)/r! |
Ω |
0.71411427606653 |
Real period |
R |
0.52784416395478 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99280r2 111690t2 62050a2 |
Quadratic twists by: -4 -3 5 |