Atkin-Lehner |
2+ 3- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802v |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-459364058496 = -1 · 27 · 39 · 72 · 612 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -1 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-434646,110402676] |
[a1,a2,a3,a4,a6] |
Generators |
[405:621:1] |
Generators of the group modulo torsion |
j |
-254218836935368753/12859776 |
j-invariant |
L |
2.0733413119343 |
L(r)(E,1)/r! |
Ω |
0.70156652168749 |
Real period |
R |
0.36941281544039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17934v1 53802n1 |
Quadratic twists by: -3 -7 |