Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400ci |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5483520 |
Modular degree for the optimal curve |
Δ |
-7203371059543750000 = -1 · 24 · 58 · 79 · 134 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -3 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10447208,-13001284787] |
[a1,a2,a3,a4,a6] |
Generators |
[4083:111475:1] |
Generators of the group modulo torsion |
j |
-499990900480/28561 |
j-invariant |
L |
3.4313306488599 |
L(r)(E,1)/r! |
Ω |
0.041987305664672 |
Real period |
R |
1.7025635000851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400e1 127400cc1 |
Quadratic twists by: 5 -7 |