Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21658o |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
34656 |
Modular degree for the optimal curve |
Δ |
278198222848 = 219 · 74 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -1 2 7+ 2 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12447,528709] |
[a1,a2,a3,a4,a6] |
Generators |
[59:34:1] |
Generators of the group modulo torsion |
j |
88823483499793/115867648 |
j-invariant |
L |
7.4337017000123 |
L(r)(E,1)/r! |
Ω |
0.97473445012577 |
Real period |
R |
0.40138876577605 |
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 |
21658s1 |
Quadratic twists by: -7 |