Atkin-Lehner |
5+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
106925u |
Isogeny class |
Conductor |
106925 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
952320 |
Modular degree for the optimal curve |
Δ |
-8350466591796875 = -1 · 510 · 72 · 135 · 47 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- -3 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,47242,1910418] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-4063:1] [-13:1137:1] |
Generators of the group modulo torsion |
j |
746241365233664/534429861875 |
j-invariant |
L |
5.1310160337752 |
L(r)(E,1)/r! |
Ω |
0.26277866727378 |
Real period |
R |
0.48814997876066 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21385k1 |
Quadratic twists by: 5 |