Atkin-Lehner |
2- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720bj |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1044287785216000000 = -1 · 214 · 56 · 132 · 176 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,248175,-12280625] |
[a1,a2,a3,a4,a6] |
Generators |
[75:2600:1] |
Generators of the group modulo torsion |
j |
103175388897377456/63738268140625 |
j-invariant |
L |
5.5196414038386 |
L(r)(E,1)/r! |
Ω |
0.15982248366025 |
Real period |
R |
1.4390031565764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720m4 17680i4 |
Quadratic twists by: -4 8 |