Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72800bk |
Isogeny class |
Conductor |
72800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-13249600000000 = -1 · 212 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4367,136863] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:175:1] [23:-500:1] |
Generators of the group modulo torsion |
j |
143877824/207025 |
j-invariant |
L |
7.0364847603268 |
L(r)(E,1)/r! |
Ω |
0.47957876753826 |
Real period |
R |
0.91701369470773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72800bs2 14560i2 |
Quadratic twists by: -4 5 |