Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6192s |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-124802187264 = -1 · 214 · 311 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -5 -3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2091,40538] |
[a1,a2,a3,a4,a6] |
Generators |
[7:162:1] |
Generators of the group modulo torsion |
j |
-338608873/41796 |
j-invariant |
L |
4.9155272019646 |
L(r)(E,1)/r! |
Ω |
1.0138483015962 |
Real period |
R |
0.60604816250932 |
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 |
774i1 24768ct1 2064h1 |
Quadratic twists by: -4 8 -3 |