Atkin-Lehner |
2- 5+ 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650p |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-659904184843750000 = -1 · 24 · 510 · 73 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5313,39082031] |
[a1,a2,a3,a4,a6] |
Generators |
[2190:59951:8] |
Generators of the group modulo torsion |
j |
-1061520150601/42233867830000 |
j-invariant |
L |
16.117100062421 |
L(r)(E,1)/r! |
Ω |
0.22942531882341 |
Real period |
R |
4.3906172093818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22330b1 |
Quadratic twists by: 5 |