Atkin-Lehner |
2- 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
89712m |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-1607271579648 = -1 · 217 · 39 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 4 4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21195,1189242] |
[a1,a2,a3,a4,a6] |
j |
-13060888875/19936 |
j-invariant |
L |
3.3735213334617 |
L(r)(E,1)/r! |
Ω |
0.8433803218915 |
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 |
11214i1 89712k1 |
Quadratic twists by: -4 -3 |