Atkin-Lehner |
2- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160y |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
30631250000 = 24 · 58 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -2 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1425,-18448] |
[a1,a2,a3,a4,a6] |
Generators |
[2122:34125:8] |
Generators of the group modulo torsion |
j |
20014882963456/1914453125 |
j-invariant |
L |
8.5788730595549 |
L(r)(E,1)/r! |
Ω |
0.78177041320385 |
Real period |
R |
2.7434119130951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540f1 120640cl1 |
Quadratic twists by: -4 8 |