Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360eu |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7631769600 = 212 · 32 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-761,7161] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:105:1] [-19:120:1] |
Generators of the group modulo torsion |
j |
11914842304/1863225 |
j-invariant |
L |
8.9024372529718 |
L(r)(E,1)/r! |
Ω |
1.2619698153018 |
Real period |
R |
1.763599482562 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998557 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360fy2 43680x1 |
Quadratic twists by: -4 8 |