Atkin-Lehner |
2- 3- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
15450bh |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-92700000000 = -1 · 28 · 32 · 58 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -1 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1112,3392] |
[a1,a2,a3,a4,a6] |
Generators |
[2:74:1] |
Generators of the group modulo torsion |
j |
389272415/237312 |
j-invariant |
L |
8.7650338710463 |
L(r)(E,1)/r! |
Ω |
0.65904466239868 |
Real period |
R |
0.27707510997638 |
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 |
123600bi1 46350bd1 15450b1 |
Quadratic twists by: -4 -3 5 |