Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550y |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
29541333287812500 = 22 · 32 · 57 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1183626,-495673352] |
[a1,a2,a3,a4,a6] |
Generators |
[-628:576:1] |
Generators of the group modulo torsion |
j |
11736717412386894481/1890645330420 |
j-invariant |
L |
4.3668147746392 |
L(r)(E,1)/r! |
Ω |
0.14474386746506 |
Real period |
R |
1.8855784925108 |
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 |
92400du6 34650dn6 2310n5 80850l6 |
Quadratic twists by: -4 -3 5 -7 |