Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600be |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
3073280000 = 211 · 54 · 74 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -4 -2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,1588] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:20:1] [-12:70:1] |
Generators of the group modulo torsion |
j |
2450 |
j-invariant |
L |
5.3300499017027 |
L(r)(E,1)/r! |
Ω |
1.2892987987175 |
Real period |
R |
0.11483524366985 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800n1 78400jo1 19600d1 19600bm1 |
Quadratic twists by: -4 8 5 -7 |