Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fg |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
68685926400 = 212 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5465,156825] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-140:1] [-59:520:1] |
Generators of the group modulo torsion |
j |
4407717267136/16769025 |
j-invariant |
L |
9.7229009049869 |
L(r)(E,1)/r! |
Ω |
1.1028274108889 |
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 |
87360hg2 43680bu1 |
Quadratic twists by: -4 8 |