Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
88935ca |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-326292204320775 = -1 · 35 · 52 · 79 · 113 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12812,667181] |
[a1,a2,a3,a4,a6] |
j |
4330747/6075 |
j-invariant |
L |
3.6658485627952 |
L(r)(E,1)/r! |
Ω |
0.36658485406693 |
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 |
88935f1 88935cb1 |
Quadratic twists by: -7 -11 |