Atkin-Lehner |
3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
58275bf |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
617472 |
Modular degree for the optimal curve |
Δ |
-299225525074875 = -1 · 39 · 53 · 74 · 373 |
Discriminant |
Eigenvalues |
-2 3- 5- 7+ -6 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-141195,20437956] |
[a1,a2,a3,a4,a6] |
Generators |
[1220:40792:1] [-430:1282:1] |
Generators of the group modulo torsion |
j |
-3416206573555712/3283682031 |
j-invariant |
L |
4.8265819442711 |
L(r)(E,1)/r! |
Ω |
0.54308916439405 |
Real period |
R |
0.18515153145785 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19425y1 58275bh1 |
Quadratic twists by: -3 5 |