Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104bc |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-947197624614912 = -1 · 215 · 36 · 113 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11+ -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24045,364754] |
[a1,a2,a3,a4,a6] |
Generators |
[73:1584:1] |
Generators of the group modulo torsion |
j |
514885403375/317214568 |
j-invariant |
L |
5.6558717424767 |
L(r)(E,1)/r! |
Ω |
0.30625259466119 |
Real period |
R |
2.3084995201143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6138i2 5456h2 |
Quadratic twists by: -4 -3 |