Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gz |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
312 |
Product of Tamagawa factors cp |
deg |
276756480 |
Modular degree for the optimal curve |
Δ |
-1.1027868592342E+31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2896860856,-148075060726645] |
[a1,a2,a3,a4,a6] |
Generators |
[772950:256830965:8] |
Generators of the group modulo torsion |
j |
146234339790153527/599838494072832 |
j-invariant |
L |
11.300620496401 |
L(r)(E,1)/r! |
Ω |
0.011514083363328 |
Real period |
R |
3.1457074157432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35574bj1 15246bh1 106722di1 |
Quadratic twists by: -3 -7 -11 |