Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074bc |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
7149741038352 = 24 · 32 · 112 · 177 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-111849,14387913] |
[a1,a2,a3,a4,a6] |
Generators |
[-384:1059:1] |
Generators of the group modulo torsion |
j |
6411014266033/296208 |
j-invariant |
L |
6.8953317624764 |
L(r)(E,1)/r! |
Ω |
0.70177404623016 |
Real period |
R |
2.4563931223722 |
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 |
57222u1 1122h1 |
Quadratic twists by: -3 17 |