Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
104040t |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
-54921533484481200 = -1 · 24 · 39 · 52 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -4 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29478,11442377] |
[a1,a2,a3,a4,a6] |
Generators |
[1156:39015:1] |
Generators of the group modulo torsion |
j |
-34816/675 |
j-invariant |
L |
4.4245990236412 |
L(r)(E,1)/r! |
Ω |
0.29764165367913 |
Real period |
R |
0.30969840868631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999807624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680bn1 104040y1 |
Quadratic twists by: -3 17 |