Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400bg |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-338256000000 = -1 · 210 · 36 · 56 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 5 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1725,-4750] |
[a1,a2,a3,a4,a6] |
Generators |
[895:11158:125] |
Generators of the group modulo torsion |
j |
48668/29 |
j-invariant |
L |
7.0884740335656 |
L(r)(E,1)/r! |
Ω |
0.56128115421815 |
Real period |
R |
6.3145483881415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52200u1 11600b1 4176l1 |
Quadratic twists by: -4 -3 5 |