Atkin-Lehner |
3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075v |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
55858125 = 3 · 54 · 313 |
Discriminant |
Eigenvalues |
2 3+ 5- 0 3 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-258,1643] |
[a1,a2,a3,a4,a6] |
Generators |
[106:151:8] |
Generators of the group modulo torsion |
j |
102400/3 |
j-invariant |
L |
12.402072616933 |
L(r)(E,1)/r! |
Ω |
1.9776333926173 |
Real period |
R |
1.045194782196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075be1 72075bn1 |
Quadratic twists by: 5 -31 |