Atkin-Lehner |
2- 3- 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
111690bw |
Isogeny class |
Conductor |
111690 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-812569258976608800 = -1 · 25 · 312 · 52 · 173 · 733 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-410882,110363681] |
[a1,a2,a3,a4,a6] |
Generators |
[411:3079:1] |
Generators of the group modulo torsion |
j |
-10523168898503496409/1114635471847200 |
j-invariant |
L |
13.465875564421 |
L(r)(E,1)/r! |
Ω |
0.27526368062028 |
Real period |
R |
0.81533189669235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37230n1 |
Quadratic twists by: -3 |