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 |
deg |
434304 |
Modular degree for the optimal curve |
Δ |
-8769105250750000 = -1 · 24 · 56 · 138 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28058,4852668] |
[a1,a2,a3,a4,a6] |
Generators |
[89:1705:1] |
Generators of the group modulo torsion |
j |
-2994503161/10750000 |
j-invariant |
L |
3.4951094025319 |
L(r)(E,1)/r! |
Ω |
0.3606276191933 |
Real period |
R |
2.4229351945964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993822 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72670r1 |
Quadratic twists by: 13 |