Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270bq |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
Δ |
502362284135040000 = 210 · 34 · 54 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-201685,-7263775] |
[a1,a2,a3,a4,a6] |
Generators |
[-220:5255:1] |
Generators of the group modulo torsion |
j |
7711811489971009/4270008960000 |
j-invariant |
L |
13.019550896451 |
L(r)(E,1)/r! |
Ω |
0.24132602445064 |
Real period |
R |
0.6743756152125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8610j2 |
Quadratic twists by: -7 |