Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18700b |
Isogeny class |
Conductor |
18700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-5142500000000 = -1 · 28 · 510 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 11+ 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19375,1043750] |
[a1,a2,a3,a4,a6] |
j |
-321742800/2057 |
j-invariant |
L |
6.1623434204619 |
L(r)(E,1)/r! |
Ω |
0.77029292755774 |
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 |
74800cf1 18700l1 |
Quadratic twists by: -4 5 |