Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680es |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
-1.0783065836932E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1894677,-4894197478] |
[a1,a2,a3,a4,a6] |
Generators |
[22802:1230579:8] |
Generators of the group modulo torsion |
j |
251907898698209879/3611226931200000 |
j-invariant |
L |
6.3359468927293 |
L(r)(E,1)/r! |
Ω |
0.062688416994538 |
Real period |
R |
6.3169035029972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710ba1 28560cz1 |
Quadratic twists by: -4 -3 |