Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24276d |
Isogeny class |
Conductor |
24276 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
484704 |
Modular degree for the optimal curve |
Δ |
-415206793142677872 = -1 · 24 · 312 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2710338,-1716823467] |
[a1,a2,a3,a4,a6] |
Generators |
[1016836936737:-20113810087131:487443403] |
Generators of the group modulo torsion |
j |
-19727991904000/3720087 |
j-invariant |
L |
5.0411579326523 |
L(r)(E,1)/r! |
Ω |
0.058831343879195 |
Real period |
R |
14.281383585265 |
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 |
97104cx1 72828s1 24276j1 |
Quadratic twists by: -4 -3 17 |