Atkin-Lehner |
2+ 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
59878q |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3076129353728704 = -1 · 26 · 73 · 13 · 476 |
Discriminant |
Eigenvalues |
2+ 2 2 7- -2 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,15921,-2547355] |
[a1,a2,a3,a4,a6] |
Generators |
[11100325005:106346524355:85766121] |
Generators of the group modulo torsion |
j |
1301062011273809/8968307153728 |
j-invariant |
L |
7.9136132540592 |
L(r)(E,1)/r! |
Ω |
0.22409217236147 |
Real period |
R |
17.657049709561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59878l2 |
Quadratic twists by: -7 |