Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360bq |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
24 |
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] |
j |
36472485598112591/24291459037755 |
j-invariant |
L |
3.5856841476776 |
L(r)(E,1)/r! |
Ω |
0.14940350204743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gz3 1365d4 |
Quadratic twists by: -4 8 |