Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400l |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
30588740000000 = 28 · 57 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 2 13- 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24908,1497812] |
[a1,a2,a3,a4,a6] |
Generators |
[397:7350:1] |
Generators of the group modulo torsion |
j |
3631696/65 |
j-invariant |
L |
10.706082803011 |
L(r)(E,1)/r! |
Ω |
0.66103219273539 |
Real period |
R |
2.0245010011307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000107632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480l1 2600a1 |
Quadratic twists by: 5 -7 |