Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9360a |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
83407259520000 = 210 · 33 · 54 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 13+ -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37803,2794698] |
[a1,a2,a3,a4,a6] |
Generators |
[99:150:1] |
Generators of the group modulo torsion |
j |
216092050322508/3016755625 |
j-invariant |
L |
3.8806728099091 |
L(r)(E,1)/r! |
Ω |
0.60913222771218 |
Real period |
R |
1.5927054231248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4680j2 37440do2 9360e2 46800f2 |
Quadratic twists by: -4 8 -3 5 |