Atkin-Lehner |
2- 3+ 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494bd |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
1263360 |
Modular degree for the optimal curve |
Δ |
-66739917665304576 = -1 · 215 · 33 · 72 · 117 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 11- -5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1501,12429027] |
[a1,a2,a3,a4,a6] |
Generators |
[347:-7566:1] [149:-4068:1] |
Generators of the group modulo torsion |
j |
13860319761261/2471848802418688 |
j-invariant |
L |
14.023299178146 |
L(r)(E,1)/r! |
Ω |
0.27559406563612 |
Real period |
R |
0.12115212819423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109494b1 |
Quadratic twists by: -3 |