Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9633o |
Isogeny class |
Conductor |
9633 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-149300746672467 = -1 · 3 · 1310 · 192 |
Discriminant |
Eigenvalues |
2 3- 0 1 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-523618,-146013617] |
[a1,a2,a3,a4,a6] |
Generators |
[3548748570086677339890228458175330662:57935928550698359142176550578519334491:3677554116729225406597984960621112] |
Generators of the group modulo torsion |
j |
-115168768000/1083 |
j-invariant |
L |
10.166833192545 |
L(r)(E,1)/r! |
Ω |
0.088739219171214 |
Real period |
R |
57.284892111397 |
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 |
28899q1 9633i1 |
Quadratic twists by: -3 13 |