Atkin-Lehner |
2+ 3+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672f |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1757580645719808 = -1 · 28 · 35 · 78 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27180,-1054944] |
[a1,a2,a3,a4,a6] |
Generators |
[124889:44135182:1] |
Generators of the group modulo torsion |
j |
8673934243101104/6865549397343 |
j-invariant |
L |
3.4373350923504 |
L(r)(E,1)/r! |
Ω |
0.26193244850763 |
Real period |
R |
6.5614915418246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336u2 |
Quadratic twists by: -4 |