Atkin-Lehner |
5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
72275b |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-21615447998046875 = -1 · 516 · 74 · 59 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ -6 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4874,-7071977] |
[a1,a2,a3,a4,a6] |
j |
341425679/576171875 |
j-invariant |
L |
2.1320164896982 |
L(r)(E,1)/r! |
Ω |
0.17766804352262 |
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 |
14455e1 72275f1 |
Quadratic twists by: 5 -7 |