Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bp |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
614400 |
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 |
[683:19350:1] |
Generators of the group modulo torsion |
j |
60064829854844/50768853975 |
j-invariant |
L |
7.8541923663531 |
L(r)(E,1)/r! |
Ω |
0.23645003276758 |
Real period |
R |
4.1521417203971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840ck1 28560bj1 |
Quadratic twists by: -4 -3 |