Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400l |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-5056000000000000 = -1 · 218 · 512 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64033,-7092063] |
[a1,a2,a3,a4,a6] |
Generators |
[4547683737:35112600000:13997521] |
Generators of the group modulo torsion |
j |
-7088952961/1234375 |
j-invariant |
L |
6.5583595519876 |
L(r)(E,1)/r! |
Ω |
0.14864878757202 |
Real period |
R |
11.029957968442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400ci1 1975c1 25280f1 |
Quadratic twists by: -4 8 5 |