Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bi |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
344176993112400 = 24 · 311 · 52 · 75 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12252558,-16507764457] |
[a1,a2,a3,a4,a6] |
Generators |
[32962:434945:8] |
Generators of the group modulo torsion |
j |
17440402442527904475136/29507629725 |
j-invariant |
L |
5.1087674204971 |
L(r)(E,1)/r! |
Ω |
0.080694300818585 |
Real period |
R |
6.3310139240348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840n1 28560bd1 |
Quadratic twists by: -4 -3 |