Atkin-Lehner |
2- 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
116288v |
Isogeny class |
Conductor |
116288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
4273236066304 = 214 · 232 · 793 |
Discriminant |
Eigenvalues |
2- 1 -3 1 0 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5617,-129809] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:184:1] |
Generators of the group modulo torsion |
j |
1196449465552/260817631 |
j-invariant |
L |
5.4648011773799 |
L(r)(E,1)/r! |
Ω |
0.56001428481425 |
Real period |
R |
1.2197905790202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116288h1 29072j1 |
Quadratic twists by: -4 8 |