Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200fy |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7288590848000000 = 215 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11+ 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117633,-15015137] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:616:1] |
Generators of the group modulo torsion |
j |
351596839112/14235529 |
j-invariant |
L |
5.2939554343544 |
L(r)(E,1)/r! |
Ω |
0.25843427608549 |
Real period |
R |
0.85353025579643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000120482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200es2 61600br2 4928v2 |
Quadratic twists by: -4 8 5 |