Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
19600di |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
73789452800000000 = 215 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157208,-20067088] |
[a1,a2,a3,a4,a6] |
Generators |
[-1414:11775:8] |
Generators of the group modulo torsion |
j |
46585/8 |
j-invariant |
L |
7.233084730888 |
L(r)(E,1)/r! |
Ω |
0.24257224808831 |
Real period |
R |
4.9697116274233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450m1 78400jp1 19600bv1 19600dy1 |
Quadratic twists by: -4 8 5 -7 |