Atkin-Lehner |
5+ 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
127925h |
Isogeny class |
Conductor |
127925 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-3052742919427075 = -1 · 52 · 76 · 176 · 43 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- -5 -5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60788,6346627] |
[a1,a2,a3,a4,a6] |
Generators |
[-287:560:1] [-77:3290:1] |
Generators of the group modulo torsion |
j |
-993659786799435625/122109716777083 |
j-invariant |
L |
4.4540976637025 |
L(r)(E,1)/r! |
Ω |
0.43683177082414 |
Real period |
R |
0.28323245559763 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127925i1 |
Quadratic twists by: 5 |