Atkin-Lehner |
2- 5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450v |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1186802500000000 = -1 · 28 · 510 · 132 · 532 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,25162,624292] |
[a1,a2,a3,a4,a6] |
Generators |
[132:-2566:1] [-8:654:1] |
Generators of the group modulo torsion |
j |
112755589904231/75955360000 |
j-invariant |
L |
8.6749617679289 |
L(r)(E,1)/r! |
Ω |
0.30621405981423 |
Real period |
R |
0.88530407588794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890a2 |
Quadratic twists by: 5 |