Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270i |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
6080 |
Modular degree for the optimal curve |
Δ |
-131598810 = -1 · 2 · 33 · 5 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 0 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,695] |
[a1,a2,a3,a4,a6] |
Generators |
[19:64:1] |
Generators of the group modulo torsion |
j |
-3996969003/4874030 |
j-invariant |
L |
3.9073647217087 |
L(r)(E,1)/r! |
Ω |
1.6728772300452 |
Real period |
R |
0.23357151687712 |
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 |
18270bf1 91350cy1 127890g1 |
Quadratic twists by: -3 5 -7 |