Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400bu |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-23186800 = -1 · 24 · 52 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -1 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,-245] |
[a1,a2,a3,a4,a6] |
Generators |
[9:13:1] [21:91:1] |
Generators of the group modulo torsion |
j |
-34560/169 |
j-invariant |
L |
11.746089822419 |
L(r)(E,1)/r! |
Ω |
0.88698533232381 |
Real period |
R |
1.6553387907735 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400q1 127400be1 |
Quadratic twists by: 5 -7 |