Atkin-Lehner |
2+ 5- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360j |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
1436902400 = 210 · 52 · 372 · 41 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 2 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-440,3200] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:60:1] |
Generators of the group modulo torsion |
j |
9220796644/1403225 |
j-invariant |
L |
9.7077321962437 |
L(r)(E,1)/r! |
Ω |
1.4518554256035 |
Real period |
R |
1.6716079324921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60680j1 |
Quadratic twists by: -4 |