Atkin-Lehner |
2- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
109648z |
Isogeny class |
Conductor |
109648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-196489216 = -1 · 212 · 72 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 0 -3 7- 11- -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-944,11184] |
[a1,a2,a3,a4,a6] |
Generators |
[17:7:1] |
Generators of the group modulo torsion |
j |
-22713274368/47971 |
j-invariant |
L |
4.2778599756112 |
L(r)(E,1)/r! |
Ω |
1.7913418088304 |
Real period |
R |
1.1940378927731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999492897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6853c1 |
Quadratic twists by: -4 |