Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106134bw |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1072512 |
Modular degree for the optimal curve |
Δ |
-50960267852555124 = -1 · 22 · 37 · 73 · 198 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -3 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-373101,-88543113] |
[a1,a2,a3,a4,a6] |
Generators |
[723990:4272023:1000] |
Generators of the group modulo torsion |
j |
-986007223/8748 |
j-invariant |
L |
7.7484578439644 |
L(r)(E,1)/r! |
Ω |
0.096534610752613 |
Real period |
R |
6.6888426390518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134ck2 106134bf1 |
Quadratic twists by: -7 -19 |