Atkin-Lehner |
2- 3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598bb |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-18125455945212 = -1 · 22 · 310 · 73 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2371,199361] |
[a1,a2,a3,a4,a6] |
Generators |
[43:594:1] |
Generators of the group modulo torsion |
j |
2022844764023/24863451228 |
j-invariant |
L |
11.291671475021 |
L(r)(E,1)/r! |
Ω |
0.50959646470041 |
Real period |
R |
1.846505398094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19866m1 |
Quadratic twists by: -3 |