Atkin-Lehner |
5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
80465a |
Isogeny class |
Conductor |
80465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-10218885492994255 = -1 · 5 · 74 · 119 · 192 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 11+ -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,28311,4507127] |
[a1,a2,a3,a4,a6] |
Generators |
[85:2701:1] |
Generators of the group modulo torsion |
j |
1064332261/4333805 |
j-invariant |
L |
2.174992149789 |
L(r)(E,1)/r! |
Ω |
0.29035967230953 |
Real period |
R |
3.7453413099912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80465d1 |
Quadratic twists by: -11 |