Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200dq |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
5887365120000000 = 218 · 35 · 57 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-57008,3736512] |
[a1,a2,a3,a4,a6] |
Generators |
[-248:1600:1] |
Generators of the group modulo torsion |
j |
320153881321/91990080 |
j-invariant |
L |
4.8107638412141 |
L(r)(E,1)/r! |
Ω |
0.39627050587605 |
Real period |
R |
1.5175125849346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650cl1 21840cf1 |
Quadratic twists by: -4 5 |