Atkin-Lehner |
2- 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
53802bi |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62720 |
Modular degree for the optimal curve |
Δ |
265849562916 = 22 · 33 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1994,24133] |
[a1,a2,a3,a4,a6] |
Generators |
[-1964:16055:64] |
Generators of the group modulo torsion |
j |
804357/244 |
j-invariant |
L |
11.608023425341 |
L(r)(E,1)/r! |
Ω |
0.90919064157395 |
Real period |
R |
6.383712554123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999373 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53802b1 53802bq1 |
Quadratic twists by: -3 -7 |