Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37536n |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-3611570982912 = -1 · 212 · 33 · 175 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -3 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4417,146833] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:344:1] |
Generators of the group modulo torsion |
j |
-2327256659008/881731197 |
j-invariant |
L |
6.0096601496663 |
L(r)(E,1)/r! |
Ω |
0.74185498942918 |
Real period |
R |
4.050427802804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536w1 75072cv1 112608o1 |
Quadratic twists by: -4 8 -3 |