Atkin-Lehner |
3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25281a |
Isogeny class |
Conductor |
25281 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
55289547 = 39 · 532 |
Discriminant |
Eigenvalues |
1 3+ 0 2 3 3 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-447,3734] |
[a1,a2,a3,a4,a6] |
Generators |
[110:-1:8] |
Generators of the group modulo torsion |
j |
178875 |
j-invariant |
L |
7.3685252581956 |
L(r)(E,1)/r! |
Ω |
1.998386120813 |
Real period |
R |
1.8436190037183 |
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 |
25281b1 25281d1 |
Quadratic twists by: -3 53 |