Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328ce |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1717248 = 210 · 3 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2237,39987] |
[a1,a2,a3,a4,a6] |
Generators |
[59982:987715:216] |
Generators of the group modulo torsion |
j |
1209527744512/1677 |
j-invariant |
L |
10.327389189784 |
L(r)(E,1)/r! |
Ω |
2.253421585146 |
Real period |
R |
9.1659627477962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036331 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328a1 26832e1 |
Quadratic twists by: -4 8 |