Atkin-Lehner |
2- 3- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
33744o |
Isogeny class |
Conductor |
33744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
829292544 = 217 · 32 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -5 -2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1232,-17004] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:6:1] |
Generators of the group modulo torsion |
j |
50529889873/202464 |
j-invariant |
L |
3.6752789873711 |
L(r)(E,1)/r! |
Ω |
0.80597613004534 |
Real period |
R |
1.1400086337434 |
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 |
4218f1 101232bm1 |
Quadratic twists by: -4 -3 |