Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360y |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
289313689550054400 = 210 · 38 · 52 · 76 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-186216,17001216] |
[a1,a2,a3,a4,a6] |
Generators |
[-394:5390:1] |
Generators of the group modulo torsion |
j |
5927735656804/2401490025 |
j-invariant |
L |
5.5659982313556 |
L(r)(E,1)/r! |
Ω |
0.27936392566714 |
Real period |
R |
1.2452391311818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999246409 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64680cp3 2640m4 |
Quadratic twists by: -4 -7 |