Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gz |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-6367860237993246720 = -1 · 218 · 33 · 5 · 712 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,442175,-43813057] |
[a1,a2,a3,a4,a6] |
Generators |
[197:7140:1] |
Generators of the group modulo torsion |
j |
36472485598112591/24291459037755 |
j-invariant |
L |
8.4348283543122 |
L(r)(E,1)/r! |
Ω |
0.13539433649682 |
Real period |
R |
5.1915196794288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000025774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bq3 21840ba3 |
Quadratic twists by: -4 8 |