Atkin-Lehner |
2- 3+ 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15180g |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
30056400 = 24 · 33 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,1350] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:50:1] |
Generators of the group modulo torsion |
j |
79082438656/1878525 |
j-invariant |
L |
4.7210865739604 |
L(r)(E,1)/r! |
Ω |
2.087696859229 |
Real period |
R |
2.2613851015247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60720df1 45540m1 75900t1 |
Quadratic twists by: -4 -3 5 |