Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800n |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-29114437500000000 = -1 · 28 · 38 · 512 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107175,15804250] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:5400:1] |
Generators of the group modulo torsion |
j |
-46689225424/9984375 |
j-invariant |
L |
6.3584380876127 |
L(r)(E,1)/r! |
Ω |
0.35670651609378 |
Real period |
R |
2.2281756043388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600y1 25560k1 |
Quadratic twists by: -3 5 |