Atkin-Lehner |
2- 3+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178ba |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
7814016 |
Modular degree for the optimal curve |
Δ |
-5.3590137874536E+20 |
Discriminant |
Eigenvalues |
2- 3+ 4 -1 -1 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3008496,2295394641] |
[a1,a2,a3,a4,a6] |
Generators |
[1845:54117:1] |
Generators of the group modulo torsion |
j |
-431698624944769/76823396352 |
j-invariant |
L |
13.074278507805 |
L(r)(E,1)/r! |
Ω |
0.15817045811474 |
Real period |
R |
4.3504958421949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116178bn1 |
Quadratic twists by: 17 |