Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072m |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
15314994969408 = 26 · 37 · 17 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 -2 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6757,103543] |
[a1,a2,a3,a4,a6] |
j |
533174986473472/239296796397 |
j-invariant |
L |
3.1407400959151 |
L(r)(E,1)/r! |
Ω |
0.62814802287708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072cs1 1173c1 |
Quadratic twists by: -4 8 |