Atkin-Lehner |
2+ 3- 7- 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
123354w |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
9011200 |
Modular degree for the optimal curve |
Δ |
-1.3560116097E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3064941,-2720326235] |
[a1,a2,a3,a4,a6] |
j |
-4367798751873864128977/1860098230041182208 |
j-invariant |
L |
1.1177908155978 |
L(r)(E,1)/r! |
Ω |
0.055889538325489 |
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 |
41118o1 |
Quadratic twists by: -3 |