Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18700a |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-6247370800 = -1 · 24 · 52 · 11 · 175 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 11+ 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-320,-4395] |
[a1,a2,a3,a4,a6] |
j |
-9059696640/15618427 |
j-invariant |
L |
2.1328321283492 |
L(r)(E,1)/r! |
Ω |
0.5332080320873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800br1 18700k1 |
Quadratic twists by: -4 5 |