Atkin-Lehner |
2- 3- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
39216v |
Isogeny class |
Conductor |
39216 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-4691436926959872 = -1 · 28 · 38 · 19 · 435 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 0 4 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1149452,473962632] |
[a1,a2,a3,a4,a6] |
Generators |
[619:108:1] |
Generators of the group modulo torsion |
j |
-656079768197791284688/18325925495937 |
j-invariant |
L |
8.0915852908507 |
L(r)(E,1)/r! |
Ω |
0.4036297070774 |
Real period |
R |
2.5058813650756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9804c1 117648bd1 |
Quadratic twists by: -4 -3 |