Atkin-Lehner |
3+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
122199h |
Isogeny class |
Conductor |
122199 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-3.2354560949483E+19 |
Discriminant |
Eigenvalues |
2 3+ 3 7- 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-85874,273869153] |
[a1,a2,a3,a4,a6] |
Generators |
[21802:1139057:8] |
Generators of the group modulo torsion |
j |
-473093337088/218558899251 |
j-invariant |
L |
15.35645418873 |
L(r)(E,1)/r! |
Ω |
0.16853501926677 |
Real period |
R |
7.5931074121997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5313a1 |
Quadratic twists by: -23 |