Atkin-Lehner |
3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
40401a |
Isogeny class |
Conductor |
40401 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
229944 |
Modular degree for the optimal curve |
Δ |
-10963827294029307 = -1 · 33 · 678 |
Discriminant |
Eigenvalues |
0 3+ 0 -4 0 -7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,5037780] |
[a1,a2,a3,a4,a6] |
Generators |
[17781190:374656577:42875] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
2.7522937437895 |
L(r)(E,1)/r! |
Ω |
0.32128156389831 |
Real period |
R |
12.849914466247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40401a2 40401b1 |
Quadratic twists by: -3 -67 |