Atkin-Lehner |
2+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520q |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-10984445522713600 = -1 · 210 · 52 · 712 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32160,-5498800] |
[a1,a2,a3,a4,a6] |
Generators |
[1311284:30089136:2197] |
Generators of the group modulo torsion |
j |
-30534944836/91177975 |
j-invariant |
L |
11.509225818477 |
L(r)(E,1)/r! |
Ω |
0.16480560810123 |
Real period |
R |
8.7293948074533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60760n1 17360j1 |
Quadratic twists by: -4 -7 |