Atkin-Lehner |
3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40749k |
Isogeny class |
Conductor |
40749 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-293026059 = -1 · 33 · 173 · 472 |
Discriminant |
Eigenvalues |
0 3- -1 -4 -3 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-181,1189] |
[a1,a2,a3,a4,a6] |
Generators |
[11:25:1] [58:137:8] |
Generators of the group modulo torsion |
j |
-134217728/59643 |
j-invariant |
L |
7.4926418862363 |
L(r)(E,1)/r! |
Ω |
1.618064174142 |
Real period |
R |
0.38588508035169 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122247k1 40749b1 |
Quadratic twists by: -3 17 |