Atkin-Lehner |
2- 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080v |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-819301570943385600 = -1 · 226 · 38 · 52 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99456,-45158400] |
[a1,a2,a3,a4,a6] |
Generators |
[458:2270:1] [546:7938:1] |
Generators of the group modulo torsion |
j |
-26562019806177409/200024797593600 |
j-invariant |
L |
7.5432265667423 |
L(r)(E,1)/r! |
Ω |
0.11881811784671 |
Real period |
R |
7.9356863913601 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6510v1 |
Quadratic twists by: -4 |