Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350bl |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
18821096000 = 26 · 53 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-932,8976] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:148:1] |
Generators of the group modulo torsion |
j |
104487111/21952 |
j-invariant |
L |
4.0367304956188 |
L(r)(E,1)/r! |
Ω |
1.1562241683442 |
Real period |
R |
0.58188406647247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999272667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126350da1 126350dk1 |
Quadratic twists by: 5 -19 |