Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280cf |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
13209600 = 212 · 3 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185,1017] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:40:1] |
Generators of the group modulo torsion |
j |
171879616/3225 |
j-invariant |
L |
5.3181180396462 |
L(r)(E,1)/r! |
Ω |
2.2409655964841 |
Real period |
R |
1.18656842568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280dr1 20640w1 123840eo1 |
Quadratic twists by: -4 8 -3 |