Atkin-Lehner |
2- 3+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450y |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-1425479765625000000 = -1 · 26 · 311 · 513 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 0 -4 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,141562,-53601469] |
[a1,a2,a3,a4,a6] |
Generators |
[895:27677:1] |
Generators of the group modulo torsion |
j |
20079068607095399/91230705000000 |
j-invariant |
L |
6.721538126072 |
L(r)(E,1)/r! |
Ω |
0.13607437246171 |
Real period |
R |
2.0581692461242 |
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 |
123600by1 46350u1 3090f1 |
Quadratic twists by: -4 -3 5 |