Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83776bk |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-459762688 = -1 · 210 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,184,376] |
[a1,a2,a3,a4,a6] |
j |
672786432/448987 |
j-invariant |
L |
2.0925066821486 |
L(r)(E,1)/r! |
Ω |
1.0462533160913 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83776a1 20944d1 |
Quadratic twists by: -4 8 |