Atkin-Lehner |
3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1617f |
Isogeny class |
Conductor |
1617 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
210187945886590287 = 316 · 79 · 112 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-174466,-17340319] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:2756:1] |
Generators of the group modulo torsion |
j |
14553591673375/5208653241 |
j-invariant |
L |
3.8517784782432 |
L(r)(E,1)/r! |
Ω |
0.24053202753639 |
Real period |
R |
1.0008486493707 |
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 |
25872bu2 103488br2 4851s2 40425p2 |
Quadratic twists by: -4 8 -3 5 |