Atkin-Lehner |
3+ 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
66975d |
Isogeny class |
Conductor |
66975 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
60244992 |
Modular degree for the optimal curve |
Δ |
-2.067478147959E+25 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 6 1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6463916883,200030719212668] |
[a1,a2,a3,a4,a6] |
Generators |
[1824968394:474557161:39304] |
Generators of the group modulo torsion |
j |
-1911573390020823397411952951296/1323186014693767192875 |
j-invariant |
L |
5.9539909527121 |
L(r)(E,1)/r! |
Ω |
0.056519199090418 |
Real period |
R |
4.3893572512325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13395e1 |
Quadratic twists by: 5 |