Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966q |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-1.1269042726517E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7840026,9875035444] |
[a1,a2,a3,a4,a6] |
Generators |
[-3175:54062:1] |
Generators of the group modulo torsion |
j |
-15145674183260713/3202575547392 |
j-invariant |
L |
6.4330361237977 |
L(r)(E,1)/r! |
Ω |
0.12212441250417 |
Real period |
R |
2.1948369397384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322m1 5382p1 |
Quadratic twists by: -3 13 |