Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8904c |
Isogeny class |
Conductor |
8904 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1268499456 = 210 · 32 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-992,-12240] |
[a1,a2,a3,a4,a6] |
Generators |
[7041:113050:27] |
Generators of the group modulo torsion |
j |
105534995332/1238769 |
j-invariant |
L |
5.8363524512078 |
L(r)(E,1)/r! |
Ω |
0.85122294716684 |
Real period |
R |
6.8564322315713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17808b2 71232u2 26712p2 62328f2 |
Quadratic twists by: -4 8 -3 -7 |