Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
15450r |
Isogeny class |
Conductor |
15450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-22781952000 = -1 · 216 · 33 · 53 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 2 -2 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5031,-137942] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1836:1] |
Generators of the group modulo torsion |
j |
-112629603409757/182255616 |
j-invariant |
L |
3.4963328602381 |
L(r)(E,1)/r! |
Ω |
0.28341589147181 |
Real period |
R |
1.0280336440326 |
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 |
123600br1 46350cl1 15450bb1 |
Quadratic twists by: -4 -3 5 |