Atkin-Lehner |
3- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
80223r |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
188928 |
Modular degree for the optimal curve |
Δ |
-3262914972603 = -1 · 33 · 114 · 134 · 172 |
Discriminant |
Eigenvalues |
-2 3- -2 3 11- 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1734,90668] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:331:1] |
Generators of the group modulo torsion |
j |
-39404941312/222861483 |
j-invariant |
L |
3.878515507034 |
L(r)(E,1)/r! |
Ω |
0.68793225095008 |
Real period |
R |
0.23491384895663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80223l1 |
Quadratic twists by: -11 |