Atkin-Lehner |
2+ 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150z |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
3139200 |
Modular degree for the optimal curve |
Δ |
-2641869128946093750 = -1 · 2 · 39 · 58 · 112 · 175 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5973117,-5617929709] |
[a1,a2,a3,a4,a6] |
j |
-3065317685686755/343605394 |
j-invariant |
L |
2.8971276631086 |
L(r)(E,1)/r! |
Ω |
0.048285460703148 |
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 |
84150em1 84150ei1 |
Quadratic twists by: -3 5 |