Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ha |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
-1.0805544845039E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -5 8 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-463574,199544293] |
[a1,a2,a3,a4,a6] |
Generators |
[611:11699:1] |
Generators of the group modulo torsion |
j |
-8773917273/8605184 |
j-invariant |
L |
13.46781099161 |
L(r)(E,1)/r! |
Ω |
0.20751777183772 |
Real period |
R |
1.8027654086117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11858t1 15246bi1 106722dj1 |
Quadratic twists by: -3 -7 -11 |