Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360w |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25433417318400 = -1 · 217 · 38 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5825,-294975] |
[a1,a2,a3,a4,a6] |
Generators |
[97:208:1] [176:2025:1] |
Generators of the group modulo torsion |
j |
-166792350818/194041575 |
j-invariant |
L |
9.3093118629693 |
L(r)(E,1)/r! |
Ω |
0.2614918632511 |
Real period |
R |
4.4500963371552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360hd2 10920q2 |
Quadratic twists by: -4 8 |