Atkin-Lehner |
3- 7+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743v |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
339840 |
Modular degree for the optimal curve |
Δ |
1108835171829 = 312 · 74 · 11 · 79 |
Discriminant |
Eigenvalues |
-2 3- -3 7+ 11- -6 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2662,14242] |
[a1,a2,a3,a4,a6] |
Generators |
[2:-95:1] [-40:241:1] |
Generators of the group modulo torsion |
j |
869198245888/461822229 |
j-invariant |
L |
5.9646840501043 |
L(r)(E,1)/r! |
Ω |
0.7627949190988 |
Real period |
R |
0.21720866776858 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999939861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127743s1 |
Quadratic twists by: -7 |