Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200l |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
135025380000000 = 28 · 39 · 57 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127575,-17529750] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:64:1] [415:1000:1] |
Generators of the group modulo torsion |
j |
8503056/5 |
j-invariant |
L |
11.364911136088 |
L(r)(E,1)/r! |
Ω |
0.25262334925015 |
Real period |
R |
11.246893022789 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200em2 17640bn2 88200m2 |
Quadratic twists by: -3 5 -7 |