Atkin-Lehner |
2- 3+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
57354q |
Isogeny class |
Conductor |
57354 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
-32920379508456 = -1 · 23 · 35 · 118 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 11- 4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5629,318011] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:640:1] |
Generators of the group modulo torsion |
j |
-92019697/153576 |
j-invariant |
L |
6.6229759845183 |
L(r)(E,1)/r! |
Ω |
0.58776228282333 |
Real period |
R |
1.2520133428185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57354d1 |
Quadratic twists by: -11 |