Atkin-Lehner |
3- 7- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72471l |
Isogeny class |
Conductor |
72471 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-207944045020131 = -1 · 3 · 78 · 17 · 294 |
Discriminant |
Eigenvalues |
2 3- -3 7- 3 -5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14422,-966983] |
[a1,a2,a3,a4,a6] |
Generators |
[159001839442:4415883146539:201230056] |
Generators of the group modulo torsion |
j |
-2819954225152/1767495219 |
j-invariant |
L |
12.027696724789 |
L(r)(E,1)/r! |
Ω |
0.21181268039419 |
Real period |
R |
14.196148104076 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10353c1 |
Quadratic twists by: -7 |