Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722q |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14902272 |
Modular degree for the optimal curve |
Δ |
-1.2095025958426E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8743422,-53838305900] |
[a1,a2,a3,a4,a6] |
Generators |
[57728156623566688443617:2284671093144040101645140:11020651589429739811] |
Generators of the group modulo torsion |
j |
-897199875/14680064 |
j-invariant |
L |
5.5914433652481 |
L(r)(E,1)/r! |
Ω |
0.037113897009034 |
Real period |
R |
37.664081488715 |
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 |
106722ep2 15246a1 106722eq1 |
Quadratic twists by: -3 -7 -11 |