Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950cu |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-31443592500 = -1 · 22 · 311 · 54 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 6 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-680,-10753] |
[a1,a2,a3,a4,a6] |
Generators |
[213:2971:1] |
Generators of the group modulo torsion |
j |
-76215625/69012 |
j-invariant |
L |
9.4317579894977 |
L(r)(E,1)/r! |
Ω |
0.45059883402215 |
Real period |
R |
2.6164509529763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10650o1 31950x1 |
Quadratic twists by: -3 5 |