Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360es |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7.575896622933E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12319,-418773375] |
[a1,a2,a3,a4,a6] |
j |
788632918919/288997521321600 |
j-invariant |
L |
1.0678961936387 |
L(r)(E,1)/r! |
Ω |
0.088991354082895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cc2 21840ci2 |
Quadratic twists by: -4 8 |