Atkin-Lehner |
2+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40678a |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5201280 |
Modular degree for the optimal curve |
Δ |
1.4829719216086E+21 |
Discriminant |
Eigenvalues |
2+ 3 -1 3 11+ 5 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6206515,-5654106763] |
[a1,a2,a3,a4,a6] |
Generators |
[772449834:-86787598613:59319] |
Generators of the group modulo torsion |
j |
2262140290089/126877696 |
j-invariant |
L |
8.3227607217118 |
L(r)(E,1)/r! |
Ω |
0.095985129162941 |
Real period |
R |
7.2257379817515 |
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 |
40678t1 |
Quadratic twists by: -43 |