Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
4080s |
Isogeny class |
Conductor |
4080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
914742821250000 = 24 · 316 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-440521,-112381580] |
[a1,a2,a3,a4,a6] |
Generators |
[8531505566177737522372:-456134175488690482715829:2827073966354846272] |
Generators of the group modulo torsion |
j |
590887175978458660864/57171426328125 |
j-invariant |
L |
2.9707016689701 |
L(r)(E,1)/r! |
Ω |
0.18531490008147 |
Real period |
R |
32.061120478321 |
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 |
1020f1 16320cy1 12240bv1 20400cw1 |
Quadratic twists by: -4 8 -3 5 |