Atkin-Lehner |
2- 3+ 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18942l |
Isogeny class |
Conductor |
18942 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
695853312 = 28 · 3 · 72 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56634,5163975] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:3209:1] |
Generators of the group modulo torsion |
j |
20088888154542488737/695853312 |
j-invariant |
L |
5.099425392484 |
L(r)(E,1)/r! |
Ω |
1.1863583860136 |
Real period |
R |
2.1491926270354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56826i1 |
Quadratic twists by: -3 |