Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360dt |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
412287273216000000 = 214 · 34 · 56 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-234865,30985775] |
[a1,a2,a3,a4,a6] |
Generators |
[635:-11760:1] |
Generators of the group modulo torsion |
j |
87450143958975184/25164018140625 |
j-invariant |
L |
9.2552789225263 |
L(r)(E,1)/r! |
Ω |
0.27808684181915 |
Real period |
R |
0.46224963307021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999851 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360ff2 10920c2 |
Quadratic twists by: -4 8 |