Atkin-Lehner |
2- 5+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59450p |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
305856 |
Modular degree for the optimal curve |
Δ |
-312163278860800 = -1 · 29 · 52 · 296 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 0 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13467,606251] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:700:1] |
Generators of the group modulo torsion |
j |
10804241130540935/12486531154432 |
j-invariant |
L |
11.951013809856 |
L(r)(E,1)/r! |
Ω |
0.36284021740699 |
Real period |
R |
0.60995187395492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59450j1 |
Quadratic twists by: 5 |