Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400a |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1944032076000000 = -1 · 28 · 35 · 56 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 1 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2967,2119437] |
[a1,a2,a3,a4,a6] |
Generators |
[121:2058:1] |
Generators of the group modulo torsion |
j |
721888256/486008019 |
j-invariant |
L |
5.0075391300005 |
L(r)(E,1)/r! |
Ω |
0.36426704460458 |
Real period |
R |
1.718361297061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2856j1 |
Quadratic twists by: 5 |