Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360eh |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-41717162756505600 = -1 · 215 · 316 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-568321,-165010079] |
[a1,a2,a3,a4,a6] |
Generators |
[28853779615:-7857679770792:389017] |
Generators of the group modulo torsion |
j |
-619520459116124168/1273106773575 |
j-invariant |
L |
5.1160838314589 |
L(r)(E,1)/r! |
Ω |
0.086929581871346 |
Real period |
R |
14.713299333695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999909203 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gj2 43680cb2 |
Quadratic twists by: -4 8 |