Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920a |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
199701734400 = 210 · 32 · 52 · 74 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7456,-244400] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:30:1] |
Generators of the group modulo torsion |
j |
44771299477636/195021225 |
j-invariant |
L |
4.2501233588827 |
L(r)(E,1)/r! |
Ω |
0.51390405670267 |
Real period |
R |
2.0675665542282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15960g2 127680gd2 95760bh2 |
Quadratic twists by: -4 8 -3 |