Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fg |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-36850544640000 = -1 · 215 · 32 · 54 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2945,299457] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:600:1] [17:504:1] |
Generators of the group modulo torsion |
j |
-86233722632/1124589375 |
j-invariant |
L |
9.7229009049869 |
L(r)(E,1)/r! |
Ω |
0.55141370544443 |
Real period |
R |
2.2040848842038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000086 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360hg3 43680bu2 |
Quadratic twists by: -4 8 |