Atkin-Lehner |
37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103933a |
Isogeny class |
Conductor |
103933 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
303160 |
Modular degree for the optimal curve |
Δ |
820081361773 = 37 · 536 |
Discriminant |
Eigenvalues |
2 3 2 -1 -5 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2809,37219] |
[a1,a2,a3,a4,a6] |
Generators |
[-29880275578419545994:249618881688397199837:826492599632000664] |
Generators of the group modulo torsion |
j |
110592/37 |
j-invariant |
L |
26.174666558831 |
L(r)(E,1)/r! |
Ω |
0.822366335607 |
Real period |
R |
31.828475249429 |
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 |
37a1 |
Quadratic twists by: 53 |