Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
105336ba |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-145099820904192 = -1 · 28 · 318 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4359,590042] |
[a1,a2,a3,a4,a6] |
Generators |
[74073:3878720:27] |
Generators of the group modulo torsion |
j |
-49081386832/777498183 |
j-invariant |
L |
9.2492978752035 |
L(r)(E,1)/r! |
Ω |
0.48999237002853 |
Real period |
R |
9.4382060017746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35112p1 |
Quadratic twists by: -3 |