Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320bf |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1468362297600 = 28 · 38 · 52 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8463,293938] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-270:1] [-51:770:1] |
Generators of the group modulo torsion |
j |
359194138576/7868025 |
j-invariant |
L |
8.8132934648145 |
L(r)(E,1)/r! |
Ω |
0.84976622712223 |
Real period |
R |
1.2964291212651 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999359 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22440k2 |
Quadratic twists by: -3 |