Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850ce |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1.4196731301025E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -6 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,137787,180220417] |
[a1,a2,a3,a4,a6] |
Generators |
[312:-16081:1] [-338:9919:1] |
Generators of the group modulo torsion |
j |
157376536199/7722894400 |
j-invariant |
L |
8.7414398590022 |
L(r)(E,1)/r! |
Ω |
0.16903397755707 |
Real period |
R |
0.71825137576017 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370c4 650j4 |
Quadratic twists by: 5 -7 |