Atkin-Lehner |
2- 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fk |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
468480 |
Modular degree for the optimal curve |
Δ |
-47926054687500 = -1 · 22 · 38 · 510 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-64805,6374697] |
[a1,a2,a3,a4,a6] |
j |
-4227809425/6732 |
j-invariant |
L |
2.5431200619554 |
L(r)(E,1)/r! |
Ω |
0.63578002377854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050l1 84150db1 |
Quadratic twists by: -3 5 |