Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560z |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-271073593440000 = -1 · 28 · 33 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14140,-452100] |
[a1,a2,a3,a4,a6] |
Generators |
[238:4056:1] |
Generators of the group modulo torsion |
j |
253012016/219375 |
j-invariant |
L |
7.9991979788084 |
L(r)(E,1)/r! |
Ω |
0.30325293319266 |
Real period |
R |
1.0990822488499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20280s1 121680n1 3120h1 |
Quadratic twists by: -4 -3 13 |