Atkin-Lehner |
2+ 3- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336m |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
-3.1711846680819E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,89286,-270742687] |
[a1,a2,a3,a4,a6] |
Generators |
[45289:9638244:1] |
Generators of the group modulo torsion |
j |
6748796026554368/2718779722292403 |
j-invariant |
L |
7.8542808710839 |
L(r)(E,1)/r! |
Ω |
0.097563082206547 |
Real period |
R |
5.0315400480019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999819511 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35112n1 |
Quadratic twists by: -3 |