Atkin-Lehner |
3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099p |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
323136 |
Modular degree for the optimal curve |
Δ |
-696797336526291 = -1 · 36 · 73 · 118 · 13 |
Discriminant |
Eigenvalues |
0 3- -2 7+ 11- 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7986,-1299389] |
[a1,a2,a3,a4,a6] |
Generators |
[5083:362335:1] |
Generators of the group modulo torsion |
j |
-360448/4459 |
j-invariant |
L |
3.2341399820975 |
L(r)(E,1)/r! |
Ω |
0.21707506201993 |
Real period |
R |
7.4493586894382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999476226 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011b1 99099by1 |
Quadratic twists by: -3 -11 |