Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6630o |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
315 |
Product of Tamagawa factors cp |
deg |
846720 |
Modular degree for the optimal curve |
Δ |
-6.480353093175E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91053318,334412276056] |
[a1,a2,a3,a4,a6] |
Generators |
[5120:46872:1] |
Generators of the group modulo torsion |
j |
-83485496408692606522088834521/64803530931750000000 |
j-invariant |
L |
3.556130441801 |
L(r)(E,1)/r! |
Ω |
0.16316627151873 |
Real period |
R |
0.069188949926753 |
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 |
53040cb1 19890w1 33150bg1 86190cp1 |
Quadratic twists by: -4 -3 5 13 |