Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016k |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
300480199729344 = 26 · 38 · 172 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3301924,-2308297226] |
[a1,a2,a3,a4,a6] |
Generators |
[4135:233928:1] [10443:1049750:1] |
Generators of the group modulo torsion |
j |
62207835213440711994688/4695003120771 |
j-invariant |
L |
7.7593003002576 |
L(r)(E,1)/r! |
Ω |
0.11199735789617 |
Real period |
R |
13.856220264482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016x1 31008s2 |
Quadratic twists by: -4 8 |