Atkin-Lehner |
2- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54050l |
Isogeny class |
Conductor |
54050 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-1429622500000 = -1 · 25 · 57 · 233 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -5 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-102938,12703492] |
[a1,a2,a3,a4,a6] |
Generators |
[232:-1266:1] |
Generators of the group modulo torsion |
j |
-7720245801045721/91495840 |
j-invariant |
L |
3.4598560490383 |
L(r)(E,1)/r! |
Ω |
0.77420858145064 |
Real period |
R |
0.14896313181061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10810b1 |
Quadratic twists by: 5 |