Atkin-Lehner |
3- 7+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
65331h |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42094080 |
Modular degree for the optimal curve |
Δ |
-3.5592127876037E+28 |
Discriminant |
Eigenvalues |
-1 3- 1 7+ 0 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-287682602,-9269040292342] |
[a1,a2,a3,a4,a6] |
Generators |
[22879869421833202243780426954439415665124:3691039338467769214846246852724137449378935:580115313242899532071045519664783168] |
Generators of the group modulo torsion |
j |
-3611910470458460849324330329/48823220680434522961772049 |
j-invariant |
L |
3.9681021939832 |
L(r)(E,1)/r! |
Ω |
0.015674766799012 |
Real period |
R |
63.28805788411 |
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 |
21777f1 |
Quadratic twists by: -3 |