Atkin-Lehner |
11- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
109021n |
Isogeny class |
Conductor |
109021 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-2827723967425621 = -1 · 1112 · 17 · 53 |
Discriminant |
Eigenvalues |
1 2 -3 1 11- -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-40174,4002189] |
[a1,a2,a3,a4,a6] |
Generators |
[231996:1655563:1728] |
Generators of the group modulo torsion |
j |
-4047806261953/1596176461 |
j-invariant |
L |
7.2365003723507 |
L(r)(E,1)/r! |
Ω |
0.42522675513063 |
Real period |
R |
4.2544949702736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011932 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9911a1 |
Quadratic twists by: -11 |