Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760bg |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7313817600 = 220 · 32 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42305,-3363297] |
[a1,a2,a3,a4,a6] |
Generators |
[1563:61248:1] |
Generators of the group modulo torsion |
j |
31942518433489/27900 |
j-invariant |
L |
6.6601626309707 |
L(r)(E,1)/r! |
Ω |
0.33289003675035 |
Real period |
R |
5.0017737809057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760cb2 930k2 89280bf2 |
Quadratic twists by: -4 8 -3 |