Atkin-Lehner |
2- 3+ 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382x |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
-8.6631063776617E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5106583,-568213801] |
[a1,a2,a3,a4,a6] |
Generators |
[164849:66855446:1] |
Generators of the group modulo torsion |
j |
125177609053596564863/73635189229502208 |
j-invariant |
L |
10.133290063638 |
L(r)(E,1)/r! |
Ω |
0.076603239276134 |
Real period |
R |
8.2676742526735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626r1 |
Quadratic twists by: -7 |