Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300w |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-33843750000 = -1 · 24 · 3 · 59 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -2 6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158,8937] |
[a1,a2,a3,a4,a6] |
Generators |
[22:125:1] |
Generators of the group modulo torsion |
j |
-4864/375 |
j-invariant |
L |
4.4214021487983 |
L(r)(E,1)/r! |
Ω |
0.95987039887567 |
Real period |
R |
0.38385409104342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660y1 108300bu1 |
Quadratic twists by: 5 -19 |