Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11840bb |
Isogeny class |
Conductor |
11840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
37000000 = 26 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 1 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171,755] |
[a1,a2,a3,a4,a6] |
Generators |
[26:125:8] |
Generators of the group modulo torsion |
j |
8690991616/578125 |
j-invariant |
L |
5.1982817938888 |
L(r)(E,1)/r! |
Ω |
2.0174998329485 |
Real period |
R |
1.2882979490243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11840bd1 5920m1 106560fz1 59200ce1 |
Quadratic twists by: -4 8 -3 5 |