Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gy |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-6.4019252249542E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3461954,2762908481] |
[a1,a2,a3,a4,a6] |
Generators |
[993:-17921:1] |
Generators of the group modulo torsion |
j |
-10358806345399/1445216256 |
j-invariant |
L |
13.270276011811 |
L(r)(E,1)/r! |
Ω |
0.15684639929134 |
Real period |
R |
1.510836177985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574bi1 106722hh1 9702q1 |
Quadratic twists by: -3 -7 -11 |