Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440dq |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-14391453772800 = -1 · 210 · 39 · 52 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6072,12152] |
[a1,a2,a3,a4,a6] |
Generators |
[1:135:1] |
Generators of the group modulo torsion |
j |
33165879296/19278675 |
j-invariant |
L |
5.5796131003376 |
L(r)(E,1)/r! |
Ω |
0.42363451973621 |
Real period |
R |
1.6463522329966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bc1 9360s1 12480bz1 |
Quadratic twists by: -4 8 -3 |