Atkin-Lehner |
2- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
45494m |
Isogeny class |
Conductor |
45494 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-133934336 = -1 · 28 · 233 · 43 |
Discriminant |
Eigenvalues |
2- -1 -2 -2 -3 1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-839,9021] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-30:1] [-29:114:1] |
Generators of the group modulo torsion |
j |
-5368567751/11008 |
j-invariant |
L |
9.617959012652 |
L(r)(E,1)/r! |
Ω |
1.8490999456316 |
Real period |
R |
0.32508920878556 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45494k1 |
Quadratic twists by: -23 |