Atkin-Lehner |
2+ 3+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116550x |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4531200 |
Modular degree for the optimal curve |
Δ |
-7.4642810464195E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 5 -6 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1666617,-926186959] |
[a1,a2,a3,a4,a6] |
Generators |
[214994:99577753:1] |
Generators of the group modulo torsion |
j |
-13317108849927/1941630796 |
j-invariant |
L |
5.0199583322941 |
L(r)(E,1)/r! |
Ω |
0.065905274303231 |
Real period |
R |
9.5211619333426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550ds1 116550dq1 |
Quadratic twists by: -3 5 |