Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
6627i |
Isogeny class |
Conductor |
6627 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
61824 |
Modular degree for the optimal curve |
Δ |
1107984764452581 = 37 · 477 |
Discriminant |
Eigenvalues |
-2 3- 3 -3 5 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-27244,-665666] |
[a1,a2,a3,a4,a6] |
Generators |
[971:29821:1] |
Generators of the group modulo torsion |
j |
207474688/102789 |
j-invariant |
L |
2.899418078808 |
L(r)(E,1)/r! |
Ω |
0.39101851722165 |
Real period |
R |
0.26482286927864 |
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 |
106032z1 19881n1 141a1 |
Quadratic twists by: -4 -3 -47 |