Atkin-Lehner |
2+ 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69264o |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4663171648512 = -1 · 210 · 39 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -6 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3741,-55118] |
[a1,a2,a3,a4,a6] |
Generators |
[51:518:1] |
Generators of the group modulo torsion |
j |
7756384892/6246747 |
j-invariant |
L |
6.9933725837485 |
L(r)(E,1)/r! |
Ω |
0.42860897441703 |
Real period |
R |
2.0395549909074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34632o2 23088j2 |
Quadratic twists by: -4 -3 |