Atkin-Lehner |
2+ 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bf |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
7.8788097911578E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47557825,-125495069375] |
[a1,a2,a3,a4,a6] |
Generators |
[-3735:3920:1] |
Generators of the group modulo torsion |
j |
181513839777967159549636/1202210966668359375 |
j-invariant |
L |
6.3432944394486 |
L(r)(E,1)/r! |
Ω |
0.057513178835884 |
Real period |
R |
1.7233263311944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gp4 10920r3 |
Quadratic twists by: -4 8 |