Atkin-Lehner |
2- 3- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598bf |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-479399814387648 = -1 · 26 · 314 · 7 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2741,-1054195] |
[a1,a2,a3,a4,a6] |
Generators |
[283:4416:1] |
Generators of the group modulo torsion |
j |
-3123019823113/657612914112 |
j-invariant |
L |
8.5977467554145 |
L(r)(E,1)/r! |
Ω |
0.23422942476796 |
Real period |
R |
3.0588765565456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19866j1 |
Quadratic twists by: -3 |