Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3198b |
Isogeny class |
Conductor |
3198 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-102108404736 = -1 · 210 · 33 · 133 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,798,-12620] |
[a1,a2,a3,a4,a6] |
j |
56300788871783/102108404736 |
j-invariant |
L |
1.6694700159783 |
L(r)(E,1)/r! |
Ω |
0.5564900053261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25584m1 102336o1 9594u1 79950bh1 |
Quadratic twists by: -4 8 -3 5 |