Atkin-Lehner |
3+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
89817f |
Isogeny class |
Conductor |
89817 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-77888474197443 = -1 · 35 · 79 · 132 · 47 |
Discriminant |
Eigenvalues |
0 3+ -2 7- 3 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7481,341424] |
[a1,a2,a3,a4,a6] |
j |
393510551552/662041107 |
j-invariant |
L |
1.6713904566446 |
L(r)(E,1)/r! |
Ω |
0.41784756518249 |
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 |
12831b1 |
Quadratic twists by: -7 |