Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
3600be |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-43200000000 = -1 · 212 · 33 · 58 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 0 5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,-10000] |
[a1,a2,a3,a4,a6] |
Generators |
[25:75:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
3.1628995389869 |
L(r)(E,1)/r! |
Ω |
0.52323692057774 |
Real period |
R |
1.0074784527484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
225b1 14400dm1 3600be2 3600bc1 |
Quadratic twists by: -4 8 -3 5 |