Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
83304r |
Isogeny class |
Conductor |
83304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1827840 |
Modular degree for the optimal curve |
Δ |
-1.0683241799819E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -1 13+ 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1178319,-699764686] |
[a1,a2,a3,a4,a6] |
Generators |
[4337:275258:1] |
Generators of the group modulo torsion |
j |
-969493407551902672/572447370103479 |
j-invariant |
L |
4.31872626455 |
L(r)(E,1)/r! |
Ω |
0.070541667071808 |
Real period |
R |
7.652793103276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964438 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768c1 |
Quadratic twists by: -3 |