Atkin-Lehner |
2- 5+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650r |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
2646336 |
Modular degree for the optimal curve |
Δ |
-69471858153420800 = -1 · 211 · 52 · 74 · 117 · 29 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 11- -5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,150,-12681303] |
[a1,a2,a3,a4,a6] |
Generators |
[1313:-48089:1] |
Generators of the group modulo torsion |
j |
15023426535/2778874326136832 |
j-invariant |
L |
3.7386000845685 |
L(r)(E,1)/r! |
Ω |
0.15908441962332 |
Real period |
R |
0.15260214563001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111650k1 |
Quadratic twists by: 5 |