Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840ck |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-37898746416921600 = -1 · 210 · 316 · 52 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,74013,-5259634] |
[a1,a2,a3,a4,a6] |
Generators |
[8002:716220:1] |
Generators of the group modulo torsion |
j |
60064829854844/50768853975 |
j-invariant |
L |
5.720133792971 |
L(r)(E,1)/r! |
Ω |
0.2014108596863 |
Real period |
R |
7.1000811498959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680bp1 14280f1 |
Quadratic twists by: -4 -3 |