Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498bk |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-5925320742414402 = -1 · 2 · 36 · 78 · 893 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 3 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119300,16316633] |
[a1,a2,a3,a4,a6] |
Generators |
[6078:149543:8] |
Generators of the group modulo torsion |
j |
-44681709625/1409938 |
j-invariant |
L |
11.029091134247 |
L(r)(E,1)/r! |
Ω |
0.42387228994317 |
Real period |
R |
4.3366407742128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722b1 78498bw1 |
Quadratic twists by: -3 -7 |