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 |
-383765103163000 = -1 · 23 · 53 · 136 · 433 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 6 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6088,-960594] |
[a1,a2,a3,a4,a6] |
Generators |
[140:897:1] |
Generators of the group modulo torsion |
j |
-5168743489/79507000 |
j-invariant |
L |
3.6584804837819 |
L(r)(E,1)/r! |
Ω |
0.22933407146086 |
Real period |
R |
1.772513908941 |
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 |
430c2 |
Quadratic twists by: 13 |