Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
58608p |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
4080658424832 = 210 · 37 · 113 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11091,438946] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:594:1] [-21:814:1] |
Generators of the group modulo torsion |
j |
202119559492/5466417 |
j-invariant |
L |
8.6285237896819 |
L(r)(E,1)/r! |
Ω |
0.77853939185727 |
Real period |
R |
0.9235803051979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29304k1 19536k1 |
Quadratic twists by: -4 -3 |