Atkin-Lehner |
2+ 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520b |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3465843701760 = 211 · 32 · 5 · 11 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21736,1237456] |
[a1,a2,a3,a4,a6] |
Generators |
[90:46:1] |
Generators of the group modulo torsion |
j |
554565203848658/1692306495 |
j-invariant |
L |
4.9457065813413 |
L(r)(E,1)/r! |
Ω |
0.79473709887585 |
Real period |
R |
3.1115362539205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999805201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56760g3 |
Quadratic twists by: -4 |