Atkin-Lehner |
3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099m |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6100531783056711 = 37 · 7 · 119 · 132 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 11+ 13- 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1338404,-595629592] |
[a1,a2,a3,a4,a6] |
Generators |
[228001881:14615960218:50653] |
Generators of the group modulo torsion |
j |
154249367147/3549 |
j-invariant |
L |
4.1192805944239 |
L(r)(E,1)/r! |
Ω |
0.14036323632763 |
Real period |
R |
14.673644873828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33033q2 99099bl2 |
Quadratic twists by: -3 -11 |