Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488ej |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-30519853056 = -1 · 221 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-737,-11649] |
[a1,a2,a3,a4,a6] |
j |
-3451273/2376 |
j-invariant |
L |
2.6671054779013 |
L(r)(E,1)/r! |
Ω |
0.44451758864788 |
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 |
103488fr1 3234d1 103488i1 |
Quadratic twists by: -4 8 -7 |