Atkin-Lehner |
2- 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
20740a |
Isogeny class |
Conductor |
20740 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-49725062560000 = -1 · 28 · 54 · 174 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2543,-342842] |
[a1,a2,a3,a4,a6] |
Generators |
[2322:38675:8] |
Generators of the group modulo torsion |
j |
-7104325107024/194238525625 |
j-invariant |
L |
3.825328203947 |
L(r)(E,1)/r! |
Ω |
0.27520426846373 |
Real period |
R |
3.4749898914187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82960c2 103700a2 |
Quadratic twists by: -4 5 |