Atkin-Lehner |
3- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117249ba |
Isogeny class |
Conductor |
117249 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-878888621045325561 = -1 · 3 · 1112 · 173 · 19 |
Discriminant |
Eigenvalues |
-1 3- 1 3 11- 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-120700,-47915911] |
[a1,a2,a3,a4,a6] |
Generators |
[49734741:3611710129:9261] |
Generators of the group modulo torsion |
j |
-109771509498841/496109714001 |
j-invariant |
L |
7.2761646939871 |
L(r)(E,1)/r! |
Ω |
0.1161900845238 |
Real period |
R |
10.437156641071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10659e1 |
Quadratic twists by: -11 |