Atkin-Lehner |
2+ 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
29736a |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33011241984 = 210 · 33 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22011,-1256890] |
[a1,a2,a3,a4,a6] |
Generators |
[398:7282:1] |
Generators of the group modulo torsion |
j |
42655919949324/1193983 |
j-invariant |
L |
4.845686732775 |
L(r)(E,1)/r! |
Ω |
0.39195872891603 |
Real period |
R |
6.1813736693349 |
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 |
59472g2 29736j2 |
Quadratic twists by: -4 -3 |