Atkin-Lehner |
3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20025m |
Isogeny class |
Conductor |
20025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
2052875390625 = 310 · 58 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33417,2358616] |
[a1,a2,a3,a4,a6] |
Generators |
[204:1898:1] |
Generators of the group modulo torsion |
j |
362314607689/180225 |
j-invariant |
L |
4.3620482807453 |
L(r)(E,1)/r! |
Ω |
0.81566298744937 |
Real period |
R |
2.673928048633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6675b1 4005d1 |
Quadratic twists by: -3 5 |