Atkin-Lehner |
2+ 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
19776n |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-3280601088 = -1 · 217 · 35 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -5 4 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,351,1215] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] [3:48:1] |
Generators of the group modulo torsion |
j |
36382894/25029 |
j-invariant |
L |
7.4214889398236 |
L(r)(E,1)/r! |
Ω |
0.89277630297924 |
Real period |
R |
0.41564101304317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19776z1 2472a1 59328i1 |
Quadratic twists by: -4 8 -3 |