Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bt |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
748363741155866880 = 28 · 315 · 5 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-360527,-72090601] |
[a1,a2,a3,a4,a6] |
Generators |
[939:19942:1] |
Generators of the group modulo torsion |
j |
7108998764134921129/1026562059198720 |
j-invariant |
L |
7.1787204213563 |
L(r)(E,1)/r! |
Ω |
0.19671099257877 |
Real period |
R |
2.2808589416024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590k1 113850bc1 |
Quadratic twists by: -3 5 |