Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
80736m |
Isogeny class |
Conductor |
80736 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
23339496643108416 = 26 · 36 · 298 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-220622,-39276600] |
[a1,a2,a3,a4,a6] |
Generators |
[602791477750:305121851650440:2352637] |
Generators of the group modulo torsion |
j |
31196377792/613089 |
j-invariant |
L |
10.171654627998 |
L(r)(E,1)/r! |
Ω |
0.22054934833288 |
Real period |
R |
15.373210432295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000115 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
80736h1 2784a1 |
Quadratic twists by: -4 29 |