Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21658be |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19712 |
Modular degree for the optimal curve |
Δ |
-142690354352 = -1 · 24 · 79 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 1 2 7- -3 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,293,-18047] |
[a1,a2,a3,a4,a6] |
Generators |
[396:7691:1] |
Generators of the group modulo torsion |
j |
68921/3536 |
j-invariant |
L |
10.212893143292 |
L(r)(E,1)/r! |
Ω |
0.49431189558802 |
Real period |
R |
2.582603522808 |
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 |
21658q1 |
Quadratic twists by: -7 |