Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600bk |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
1025000000000000 = 212 · 514 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -2 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43033,-3057063] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:600:1] [-87:144:1] |
Generators of the group modulo torsion |
j |
137707850944/16015625 |
j-invariant |
L |
12.444472695281 |
L(r)(E,1)/r! |
Ω |
0.33398767625449 |
Real period |
R |
9.3150687735317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bo1 32800m1 13120bc1 |
Quadratic twists by: -4 8 5 |