Atkin-Lehner |
2+ 3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58656l |
Isogeny class |
Conductor |
58656 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
1491840 |
Modular degree for the optimal curve |
Δ |
-9.4401275521275E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 2 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-764088,533233944] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:27378:1] |
Generators of the group modulo torsion |
j |
-96357263326125677000/184377491252489691 |
j-invariant |
L |
7.761280033763 |
L(r)(E,1)/r! |
Ω |
0.16951180777124 |
Real period |
R |
0.32704337977662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58656h1 117312bo1 |
Quadratic twists by: -4 8 |