Atkin-Lehner |
2- 3+ 11- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127908b |
Isogeny class |
Conductor |
127908 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
267264 |
Modular degree for the optimal curve |
Δ |
-23828928862464 = -1 · 28 · 39 · 114 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11- -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32103,2226366] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:1242:1] [135:594:1] |
Generators of the group modulo torsion |
j |
-726154964208/4729043 |
j-invariant |
L |
11.45654960117 |
L(r)(E,1)/r! |
Ω |
0.67789022206639 |
Real period |
R |
0.70417925794331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999966552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127908a1 |
Quadratic twists by: -3 |