Atkin-Lehner |
2- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55738p |
Isogeny class |
Conductor |
55738 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
51063411790016 = 26 · 29 · 317 |
Discriminant |
Eigenvalues |
2- 0 3 -4 2 4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-29491,1926099] |
[a1,a2,a3,a4,a6] |
Generators |
[411:7482:1] |
Generators of the group modulo torsion |
j |
3196010817/57536 |
j-invariant |
L |
10.394618974342 |
L(r)(E,1)/r! |
Ω |
0.63336723644335 |
Real period |
R |
0.68381990575331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1798c1 |
Quadratic twists by: -31 |