Atkin-Lehner |
2+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
19880a |
Isogeny class |
Conductor |
19880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-1129184000 = -1 · 28 · 53 · 7 · 712 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 5 5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15508,743332] |
[a1,a2,a3,a4,a6] |
Generators |
[62:142:1] |
Generators of the group modulo torsion |
j |
-1611206197853184/4410875 |
j-invariant |
L |
3.1839137401871 |
L(r)(E,1)/r! |
Ω |
1.3424663069521 |
Real period |
R |
0.29646123367296 |
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 |
39760f1 99400o1 |
Quadratic twists by: -4 5 |