Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3650q |
Isogeny class |
Conductor |
3650 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
832 |
Modular degree for the optimal curve |
Δ |
74752000 = 213 · 53 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- 1 1 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-183,781] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:42:1] |
Generators of the group modulo torsion |
j |
5423945093/598016 |
j-invariant |
L |
4.3793000462499 |
L(r)(E,1)/r! |
Ω |
1.8775978138339 |
Real period |
R |
0.089707506007116 |
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 |
29200z1 116800x1 32850ba1 3650e1 |
Quadratic twists by: -4 8 -3 5 |