Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426x |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1715200263944772 = 22 · 3 · 115 · 316 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9672485,11574547271] |
[a1,a2,a3,a4,a6] |
Generators |
[1810190:197633:1000] |
Generators of the group modulo torsion |
j |
112763292123580561/1932612 |
j-invariant |
L |
4.0614612663601 |
L(r)(E,1)/r! |
Ω |
0.33775840499412 |
Real period |
R |
6.0123763102832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66c3 |
Quadratic twists by: -31 |