Atkin-Lehner |
2+ 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72670k |
Isogeny class |
Conductor |
72670 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-6641285369297612800 = -1 · 212 · 52 · 138 · 433 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,246567,-114664132] |
[a1,a2,a3,a4,a6] |
Generators |
[859:-27470:1] |
Generators of the group modulo torsion |
j |
2032283442839/8141516800 |
j-invariant |
L |
3.4951094025319 |
L(r)(E,1)/r! |
Ω |
0.12020920639777 |
Real period |
R |
0.80764506486547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72670r2 |
Quadratic twists by: 13 |