Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878bj |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-12548122603632 = -1 · 24 · 36 · 75 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,115,-170459] |
[a1,a2,a3,a4,a6] |
Generators |
[77:500:1] |
Generators of the group modulo torsion |
j |
232608375/17212788208 |
j-invariant |
L |
9.1822601631071 |
L(r)(E,1)/r! |
Ω |
0.32742153184171 |
Real period |
R |
0.70110387299957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3542e1 |
Quadratic twists by: -3 |