Atkin-Lehner |
2+ 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
11214h |
Isogeny class |
Conductor |
11214 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2752 |
Modular degree for the optimal curve |
Δ |
-2725002 = -1 · 2 · 37 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 6 4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9,-81] |
[a1,a2,a3,a4,a6] |
j |
103823/3738 |
j-invariant |
L |
2.457988995963 |
L(r)(E,1)/r! |
Ω |
1.2289944979815 |
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 |
89712w1 3738e1 78498s1 |
Quadratic twists by: -4 -3 -7 |