Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21658bb |
Isogeny class |
Conductor |
21658 |
Conductor |
∏ cp |
408 |
Product of Tamagawa factors cp |
deg |
744192 |
Modular degree for the optimal curve |
Δ |
-68536844631277568 = -1 · 217 · 77 · 133 · 172 |
Discriminant |
Eigenvalues |
2- -3 -2 7- -3 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1221261,519928245] |
[a1,a2,a3,a4,a6] |
Generators |
[190494050455713611251289704869:-2388270092130458861613793302744:220820270985505842379250059] [-537:32216:1] |
Generators of the group modulo torsion |
j |
-1712224094099844753/582553567232 |
j-invariant |
L |
6.4259425986098 |
L(r)(E,1)/r! |
Ω |
0.34042143460799 |
Real period |
R |
0.046265768571409 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3094g1 |
Quadratic twists by: -7 |