Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850d |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
313893414450 = 2 · 32 · 52 · 78 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2965,-57245] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:-59:1] |
Generators of the group modulo torsion |
j |
20012545/2178 |
j-invariant |
L |
3.9331295460462 |
L(r)(E,1)/r! |
Ω |
0.65152140253848 |
Real period |
R |
0.50306988290341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80850gy1 80850cg1 |
Quadratic twists by: 5 -7 |