Atkin-Lehner |
2- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72520r |
Isogeny class |
Conductor |
72520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
-1114371328000 = -1 · 211 · 53 · 76 · 37 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 0 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,50784] |
[a1,a2,a3,a4,a6] |
j |
-2/4625 |
j-invariant |
L |
0.69208591652501 |
L(r)(E,1)/r! |
Ω |
0.6920859059959 |
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 |
1480d1 |
Quadratic twists by: -7 |