Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720d |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
315160002560000 = 227 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2272481,-1319313281] |
[a1,a2,a3,a4,a6] |
Generators |
[14282:142375:8] |
Generators of the group modulo torsion |
j |
4950906946375997881/1202240000 |
j-invariant |
L |
3.0715165216019 |
L(r)(E,1)/r! |
Ω |
0.12296300835805 |
Real period |
R |
6.2447978522195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720v2 2210a2 |
Quadratic twists by: -4 8 |