Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810bh |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
744 |
Product of Tamagawa factors cp |
deg |
2499840 |
Modular degree for the optimal curve |
Δ |
-8.78691483648E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34214492,-89253535841] |
[a1,a2,a3,a4,a6] |
Generators |
[27317:4386341:1] |
Generators of the group modulo torsion |
j |
-6076121652651798651688569/1205338112000000000000 |
j-invariant |
L |
7.5281734616717 |
L(r)(E,1)/r! |
Ω |
0.030881368580889 |
Real period |
R |
0.32765752239241 |
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 |
2090c1 94050bb1 |
Quadratic twists by: -3 5 |