Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950ck |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-332281250 = -1 · 2 · 56 · 73 · 31 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-405,-3153] |
[a1,a2,a3,a4,a6] |
Generators |
[3572:22619:64] |
Generators of the group modulo torsion |
j |
-1367631/62 |
j-invariant |
L |
6.378507931771 |
L(r)(E,1)/r! |
Ω |
0.53081211207048 |
Real period |
R |
6.0082539458579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3038b1 75950cv1 |
Quadratic twists by: 5 -7 |