Atkin-Lehner |
3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1617f |
Isogeny class |
Conductor |
1617 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-3876351387330807 = -1 · 38 · 79 · 114 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,33049,-1901203] |
[a1,a2,a3,a4,a6] |
Generators |
[537:12799:1] |
Generators of the group modulo torsion |
j |
98931640625/96059601 |
j-invariant |
L |
3.8517784782432 |
L(r)(E,1)/r! |
Ω |
0.24053202753639 |
Real period |
R |
2.0016972987415 |
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 |
25872bu1 103488br1 4851s1 40425p1 |
Quadratic twists by: -4 8 -3 5 |