Atkin-Lehner |
2- 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
25550x |
Isogeny class |
Conductor |
25550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-228928000 = -1 · 29 · 53 · 72 · 73 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -6 -2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-258,1732] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-36:1] [-12:62:1] |
Generators of the group modulo torsion |
j |
-15197705333/1831424 |
j-invariant |
L |
8.3668965082664 |
L(r)(E,1)/r! |
Ω |
1.7150229718273 |
Real period |
R |
0.13551643080831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25550l1 |
Quadratic twists by: 5 |