Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800q |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
372082511250000 = 24 · 310 · 57 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25050,-1211375] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:275:1] |
Generators of the group modulo torsion |
j |
9538484224/2041605 |
j-invariant |
L |
7.6780719345622 |
L(r)(E,1)/r! |
Ω |
0.38524370218447 |
Real period |
R |
2.4913035007695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600z1 25560m1 |
Quadratic twists by: -3 5 |