Atkin-Lehner |
11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
58619a |
Isogeny class |
Conductor |
58619 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1082736 |
Modular degree for the optimal curve |
Δ |
-7.8358081908705E+19 |
Discriminant |
Eigenvalues |
0 1 0 -3 11+ -3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1296723,-710651213] |
[a1,a2,a3,a4,a6] |
Generators |
[656703511525341475:839091543789952634:486273732420853] |
Generators of the group modulo torsion |
j |
-4096000/1331 |
j-invariant |
L |
3.3028958699634 |
L(r)(E,1)/r! |
Ω |
0.069588098746803 |
Real period |
R |
23.731758227661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58619c1 |
Quadratic twists by: 73 |