Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680bo |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
9517981044096000 = 210 · 37 · 53 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54507,-1399606] |
[a1,a2,a3,a4,a6] |
Generators |
[-77:1530:1] |
Generators of the group modulo torsion |
j |
23991260483236/12750210375 |
j-invariant |
L |
7.6494647726036 |
L(r)(E,1)/r! |
Ω |
0.33190870926845 |
Real period |
R |
0.96028724137993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840cj2 28560d2 |
Quadratic twists by: -4 -3 |