Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18620q |
Isogeny class |
Conductor |
18620 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
766606766450000 = 24 · 55 · 76 · 194 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45145,-3458400] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:475:1] |
Generators of the group modulo torsion |
j |
5405726654464/407253125 |
j-invariant |
L |
3.1152895457042 |
L(r)(E,1)/r! |
Ω |
0.32908676282344 |
Real period |
R |
0.3155489572594 |
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 |
74480ck1 93100y1 380b1 |
Quadratic twists by: -4 5 -7 |