Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30912bm |
Isogeny class |
Conductor |
30912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-39251739082752 = -1 · 216 · 312 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6273,359073] |
[a1,a2,a3,a4,a6] |
Generators |
[29:448:1] |
Generators of the group modulo torsion |
j |
-416618810500/598934007 |
j-invariant |
L |
4.4297308800012 |
L(r)(E,1)/r! |
Ω |
0.58199154658234 |
Real period |
R |
1.9028329990419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30912v1 7728e1 92736fh1 |
Quadratic twists by: -4 8 -3 |