Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91350eq |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
1536 |
Product of Tamagawa factors cp |
Δ |
2596655079396000000 = 28 · 38 · 56 · 76 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-447080,-84906453] |
[a1,a2,a3,a4,a6] |
Generators |
[1239:-36145:1] [-511:3405:1] |
Generators of the group modulo torsion |
j |
867622835347633/227964231936 |
j-invariant |
L |
15.978272796534 |
L(r)(E,1)/r! |
Ω |
0.18823494608656 |
Real period |
R |
0.88421594978536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996303 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
30450k2 3654f2 |
Quadratic twists by: -3 5 |