Atkin-Lehner |
2- 7+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
25228f |
Isogeny class |
Conductor |
25228 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
208656 |
Modular degree for the optimal curve |
Δ |
-1909643964535552 = -1 · 28 · 73 · 177 · 53 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -6 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159517,24559023] |
[a1,a2,a3,a4,a6] |
Generators |
[27970:43103:125] |
Generators of the group modulo torsion |
j |
-1753506537883721728/7459546736467 |
j-invariant |
L |
3.7959891478973 |
L(r)(E,1)/r! |
Ω |
0.47022378598621 |
Real period |
R |
8.0727289027626 |
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 |
100912bc1 |
Quadratic twists by: -4 |