Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360bu |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1128547929600000000 = 215 · 32 · 58 · 73 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-272545,-19578143] |
[a1,a2,a3,a4,a6] |
Generators |
[-431:4200:1] [-351:5720:1] |
Generators of the group modulo torsion |
j |
68326634211119432/34440549609375 |
j-invariant |
L |
10.254638339853 |
L(r)(E,1)/r! |
Ω |
0.22030385158802 |
Real period |
R |
0.24243595517131 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dd4 43680q3 |
Quadratic twists by: -4 8 |