Atkin-Lehner |
5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
109025i |
Isogeny class |
Conductor |
109025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1336320 |
Modular degree for the optimal curve |
Δ |
-318519731591796875 = -1 · 511 · 77 · 892 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 1 -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,126992,-20872832] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2180:1] [187:3062:1] |
Generators of the group modulo torsion |
j |
123208626176/173271875 |
j-invariant |
L |
4.9395353387792 |
L(r)(E,1)/r! |
Ω |
0.16232211742192 |
Real period |
R |
1.9019032238378 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000008059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21805f1 15575f1 |
Quadratic twists by: 5 -7 |