Atkin-Lehner |
2- 7+ 11+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
126896k |
Isogeny class |
Conductor |
126896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27744 |
Modular degree for the optimal curve |
Δ |
-2030336 = -1 · 28 · 7 · 11 · 103 |
Discriminant |
Eigenvalues |
2- -3 1 7+ 11+ 1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8,-68] |
[a1,a2,a3,a4,a6] |
Generators |
[6:14:1] |
Generators of the group modulo torsion |
j |
221184/7931 |
j-invariant |
L |
3.7732623622369 |
L(r)(E,1)/r! |
Ω |
1.2595862230255 |
Real period |
R |
1.4978182013262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31724b1 |
Quadratic twists by: -4 |