Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
84474a |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-165138010839985482 = -1 · 2 · 39 · 13 · 199 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 5 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,57873,-18817345] |
[a1,a2,a3,a4,a6] |
Generators |
[375617:5754203:1331] |
Generators of the group modulo torsion |
j |
3375/26 |
j-invariant |
L |
5.9916195795664 |
L(r)(E,1)/r! |
Ω |
0.1603040178803 |
Real period |
R |
9.3441506570265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474bf1 84474bj1 |
Quadratic twists by: -3 -19 |