Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488fr |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[13:-64:1] |
Generators of the group modulo torsion |
j |
-3451273/2376 |
j-invariant |
L |
3.3616270715475 |
L(r)(E,1)/r! |
Ω |
1.0829194662064 |
Real period |
R |
0.77605657282851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999796937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488ej1 25872cy1 103488gy1 |
Quadratic twists by: -4 8 -7 |