Atkin-Lehner |
2+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670j |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-810753074218750 = -1 · 2 · 59 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 6 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-950798,-356927322] |
[a1,a2,a3,a4,a6] |
Generators |
[4534:295295:1] |
Generators of the group modulo torsion |
j |
-19693718244927649/167968750 |
j-invariant |
L |
3.6584804837819 |
L(r)(E,1)/r! |
Ω |
0.076444690486955 |
Real period |
R |
5.317541726823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
430c3 |
Quadratic twists by: 13 |