Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400be |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
384199200000000 = 211 · 34 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12806640008,557833047898512] |
[a1,a2,a3,a4,a6] |
Generators |
[65353:7084:1] |
Generators of the group modulo torsion |
j |
7259042500647479362626220802/12006225 |
j-invariant |
L |
5.2538155036433 |
L(r)(E,1)/r! |
Ω |
0.10808188215992 |
Real period |
R |
3.038099097219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46200bf6 18480bc5 |
Quadratic twists by: -4 5 |