Atkin-Lehner |
2+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
25970g |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
498831760 = 24 · 5 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-205,405] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:335:8] |
Generators of the group modulo torsion |
j |
8120601/4240 |
j-invariant |
L |
3.537296266616 |
L(r)(E,1)/r! |
Ω |
1.4547653949227 |
Real period |
R |
2.4315235150366 |
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 |
129850bu1 530b1 |
Quadratic twists by: 5 -7 |