Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120bt |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2673301501552492800 = 28 · 311 · 52 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-388115607,-2942996692394] |
[a1,a2,a3,a4,a6] |
Generators |
[802369083195720411336023998228054:-110618167566008101766279666228994915:24087628140760089669762475352] |
Generators of the group modulo torsion |
j |
14692827276345584/6075 |
j-invariant |
L |
7.1255120738399 |
L(r)(E,1)/r! |
Ω |
0.034014123006098 |
Real period |
R |
52.371716834722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560v2 29040v2 87120bs2 |
Quadratic twists by: -4 -3 -11 |