Atkin-Lehner |
2- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49088q |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1607680 |
Modular degree for the optimal curve |
Δ |
-133261738296786944 = -1 · 214 · 1310 · 59 |
Discriminant |
Eigenvalues |
2- -3 3 -1 6 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948796,-356152592] |
[a1,a2,a3,a4,a6] |
Generators |
[12267720:3842990428:125] |
Generators of the group modulo torsion |
j |
-5765305272706770768/8133651019091 |
j-invariant |
L |
4.2906335868052 |
L(r)(E,1)/r! |
Ω |
0.07647854528816 |
Real period |
R |
14.025611923842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088a1 12272c1 |
Quadratic twists by: -4 8 |