Atkin-Lehner |
2- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120w |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
1200320 = 26 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203,1112] |
[a1,a2,a3,a4,a6] |
Generators |
[226:1071:8] |
Generators of the group modulo torsion |
j |
14455457856/18755 |
j-invariant |
L |
6.349080017387 |
L(r)(E,1)/r! |
Ω |
2.7286761619799 |
Real period |
R |
4.6535972874063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109120z1 54560g2 |
Quadratic twists by: -4 8 |