Atkin-Lehner |
2+ 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20664b |
Isogeny class |
Conductor |
20664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1399680 |
Modular degree for the optimal curve |
Δ |
-1.8846160635285E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 3 2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1490589,20874938814] |
[a1,a2,a3,a4,a6] |
Generators |
[-1129888420975732644:-36335236979456048583:493113895792064] |
Generators of the group modulo torsion |
j |
9086072613556122/4675215603667007 |
j-invariant |
L |
4.6080285014217 |
L(r)(E,1)/r! |
Ω |
0.078543960125282 |
Real period |
R |
29.334072881426 |
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 |
41328e1 20664l1 |
Quadratic twists by: -4 -3 |