Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
75852n |
Isogeny class |
Conductor |
75852 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
479550630572496 = 24 · 39 · 77 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34104,-2183195] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:490:1] |
Generators of the group modulo torsion |
j |
3196715008/349461 |
j-invariant |
L |
6.934035012887 |
L(r)(E,1)/r! |
Ω |
0.35380777512223 |
Real period |
R |
2.449788946183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25284n1 10836e1 |
Quadratic twists by: -3 -7 |