Atkin-Lehner |
2+ 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150cq |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-331264890000000 = -1 · 27 · 311 · 57 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5958,856116] |
[a1,a2,a3,a4,a6] |
j |
2053225511/29082240 |
j-invariant |
L |
1.6056065147183 |
L(r)(E,1)/r! |
Ω |
0.40140163025546 |
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 |
28050cy1 16830cu1 |
Quadratic twists by: -3 5 |