Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72912bj |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
630444404743630848 = 212 · 34 · 711 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70271112,-226708853328] |
[a1,a2,a3,a4,a6] |
Generators |
[37059272879538:2247214137039810:3222118333] |
Generators of the group modulo torsion |
j |
79635371136974578297/1308273687 |
j-invariant |
L |
4.6940574123728 |
L(r)(E,1)/r! |
Ω |
0.052144120661314 |
Real period |
R |
22.505209372433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4557n2 10416bh2 |
Quadratic twists by: -4 -7 |