Atkin-Lehner |
2- 3+ 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18354u |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
3570 |
Product of Tamagawa factors cp |
deg |
28331520 |
Modular degree for the optimal curve |
Δ |
-2.2945833358711E+30 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2757292910,46968580536863] |
[a1,a2,a3,a4,a6] |
Generators |
[65797:-22687853:1] |
Generators of the group modulo torsion |
j |
2318314888982052959258980764303839/2294583335871127030705847402496 |
j-invariant |
L |
7.4395171143663 |
L(r)(E,1)/r! |
Ω |
0.017058062815455 |
Real period |
R |
0.12216500630277 |
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 |
55062t1 128478cm1 |
Quadratic twists by: -3 -7 |