Atkin-Lehner |
2+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800bx |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-68800000000 = -1 · 212 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 -3 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,167,-12537] |
[a1,a2,a3,a4,a6] |
j |
320/43 |
j-invariant |
L |
1.0384588286429 |
L(r)(E,1)/r! |
Ω |
0.51922942189967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800cj1 34400bo1 68800bh1 |
Quadratic twists by: -4 8 5 |