Atkin-Lehner |
2+ 3- 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118818m |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
8343552 |
Modular degree for the optimal curve |
Δ |
-1.3294492728034E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -6 3 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1951083,1187110917] |
[a1,a2,a3,a4,a6] |
Generators |
[9222:871413:1] |
Generators of the group modulo torsion |
j |
-1126739562413144832433/182366155391406336 |
j-invariant |
L |
6.4696930323154 |
L(r)(E,1)/r! |
Ω |
0.17810877652002 |
Real period |
R |
1.2972997181073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39606o1 |
Quadratic twists by: -3 |