Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
3894i |
Isogeny class |
Conductor |
3894 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
343200 |
Modular degree for the optimal curve |
Δ |
-1.2085786640152E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 11+ 0 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-83450651,293387728745] |
[a1,a2,a3,a4,a6] |
Generators |
[5747:57542:1] |
Generators of the group modulo torsion |
j |
-64270680662155941646665331249/120857866401516355584 |
j-invariant |
L |
4.4528927132083 |
L(r)(E,1)/r! |
Ω |
0.1597276460842 |
Real period |
R |
0.37170711707277 |
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 |
31152ba1 124608bk1 11682e1 97350v1 |
Quadratic twists by: -4 8 -3 5 |