Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600bx |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
4198400000000 = 218 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34700,-2486000] |
[a1,a2,a3,a4,a6] |
Generators |
[1330:48000:1] |
Generators of the group modulo torsion |
j |
1128111921/1025 |
j-invariant |
L |
3.8858866007677 |
L(r)(E,1)/r! |
Ω |
0.34981697145024 |
Real period |
R |
2.7770855318722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997332 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600r1 16400s1 13120bi1 |
Quadratic twists by: -4 8 5 |