Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536w |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
6 |
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 |
[194:2517:1] |
Generators of the group modulo torsion |
j |
-2327256659008/881731197 |
j-invariant |
L |
8.1493838330908 |
L(r)(E,1)/r! |
Ω |
0.2873896500233 |
Real period |
R |
4.72609448092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37536n1 75072by1 112608t1 |
Quadratic twists by: -4 8 -3 |