Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680a |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-69121140480 = -1 · 28 · 33 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1017,-2042] |
[a1,a2,a3,a4,a6] |
Generators |
[66:665:8] |
Generators of the group modulo torsion |
j |
16829950608/10000165 |
j-invariant |
L |
6.3608738274351 |
L(r)(E,1)/r! |
Ω |
0.64140007407878 |
Real period |
R |
4.9585851988208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840b2 85680f2 |
Quadratic twists by: -4 -3 |