Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450o |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-593280000000000 = -1 · 216 · 32 · 510 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 2 -3 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25326,1942048] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:477:1] |
Generators of the group modulo torsion |
j |
-183949590625/60751872 |
j-invariant |
L |
4.5379022896876 |
L(r)(E,1)/r! |
Ω |
0.48704078381137 |
Real period |
R |
2.3293235600189 |
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 |
123600u1 46350ca1 15450z1 |
Quadratic twists by: -4 -3 5 |