Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330bs |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-5667089864259505500 = -1 · 22 · 326 · 53 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2477925,1506326625] |
[a1,a2,a3,a4,a6] |
j |
-6729249553378150807/22664098606500 |
j-invariant |
L |
0.9653123332047 |
L(r)(E,1)/r! |
Ω |
0.241328082574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110dh1 57330cl1 |
Quadratic twists by: -3 -7 |