Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920ex |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
6864000 |
Modular degree for the optimal curve |
Δ |
-9.760489759965E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3312528,4148356336] |
[a1,a2,a3,a4,a6] |
Generators |
[3897:276115:1] |
Generators of the group modulo torsion |
j |
1346216501445963776/3268768272021875 |
j-invariant |
L |
7.6476156147649 |
L(r)(E,1)/r! |
Ω |
0.090117055800145 |
Real period |
R |
0.77148301444399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000065378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7245q1 12880t1 |
Quadratic twists by: -4 -3 |