Atkin-Lehner |
3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
72075c |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
180980325 = 35 · 52 · 313 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 -5 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1033,13113] |
[a1,a2,a3,a4,a6] |
Generators |
[381:-928:27] [138:87:8] |
Generators of the group modulo torsion |
j |
163840000/243 |
j-invariant |
L |
7.3362658060422 |
L(r)(E,1)/r! |
Ω |
1.7986985288752 |
Real period |
R |
2.0393261261662 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075bh1 72075z1 |
Quadratic twists by: 5 -31 |