Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656t |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
68224 |
Modular degree for the optimal curve |
Δ |
-498755252736 = -1 · 29 · 313 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 2 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112,33944] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:162:1] |
Generators of the group modulo torsion |
j |
-306182024/974131353 |
j-invariant |
L |
5.0760736504976 |
L(r)(E,1)/r! |
Ω |
0.74724892168597 |
Real period |
R |
0.26126983428743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656d1 117312o1 |
Quadratic twists by: -4 8 |