Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40656x |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-152234890847900784 = -1 · 24 · 311 · 79 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40704,-18490617] |
[a1,a2,a3,a4,a6] |
Generators |
[1041:-33957:1] |
Generators of the group modulo torsion |
j |
350208169805056/7148520419229 |
j-invariant |
L |
6.6726445404789 |
L(r)(E,1)/r! |
Ω |
0.15785184560886 |
Real period |
R |
0.21349275215583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20328n1 121968bq1 40656v1 |
Quadratic twists by: -4 -3 -11 |