Atkin-Lehner |
3+ 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
15045a |
Isogeny class |
Conductor |
15045 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
84628125 = 33 · 55 · 17 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5+ -3 0 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-796,-8373] |
[a1,a2,a3,a4,a6] |
Generators |
[-67056:5007:4096] |
Generators of the group modulo torsion |
j |
55848099303424/84628125 |
j-invariant |
L |
6.7187075071687 |
L(r)(E,1)/r! |
Ω |
0.89880474135933 |
Real period |
R |
7.4751580604788 |
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 |
45135o1 75225t1 |
Quadratic twists by: -3 5 |