Atkin-Lehner |
2+ 3- 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450y |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
891648 |
Modular degree for the optimal curve |
Δ |
-4354336370419200 = -1 · 29 · 32 · 52 · 113 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1264,3174878] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:181:1] |
Generators of the group modulo torsion |
j |
8943731208095/174173454816768 |
j-invariant |
L |
4.8633279859865 |
L(r)(E,1)/r! |
Ω |
0.34489922463368 |
Real period |
R |
1.7625902008232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076284 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120450bo1 |
Quadratic twists by: 5 |