Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966ba |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-8291356182464264784 = -1 · 24 · 36 · 72 · 299 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-109908,-139219232] |
[a1,a2,a3,a4,a6] |
Generators |
[7962540:376801664:3375] |
Generators of the group modulo torsion |
j |
-338608873/19120976 |
j-invariant |
L |
6.7797014462979 |
L(r)(E,1)/r! |
Ω |
0.10226896889419 |
Real period |
R |
8.2866062696866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11774j1 3654u1 |
Quadratic twists by: -3 29 |