Atkin-Lehner |
5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
45325a |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
49680 |
Modular degree for the optimal curve |
Δ |
4162371018925 = 52 · 74 · 375 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4068,-18733] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:159:1] [-17:222:1] |
Generators of the group modulo torsion |
j |
124034085385/69343957 |
j-invariant |
L |
6.9621631273149 |
L(r)(E,1)/r! |
Ω |
0.64206257838126 |
Real period |
R |
0.72289559322678 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45325n1 45325i1 |
Quadratic twists by: 5 -7 |