Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40992b |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-5555713314816 = -1 · 212 · 33 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 0 -2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165425,-25842207] |
[a1,a2,a3,a4,a6] |
j |
-122227750618912576/1356375321 |
j-invariant |
L |
1.6570926878382 |
L(r)(E,1)/r! |
Ω |
0.11836376341519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40992f1 81984ct1 122976bi1 |
Quadratic twists by: -4 8 -3 |