Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21658k |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
86529427712 = 28 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 2 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2672,51006] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:330:1] |
Generators of the group modulo torsion |
j |
17923019113/735488 |
j-invariant |
L |
2.0721836182598 |
L(r)(E,1)/r! |
Ω |
1.066951896257 |
Real period |
R |
0.9710764025676 |
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 |
442c1 |
Quadratic twists by: -7 |