Atkin-Lehner |
2- 7- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101626w |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3048192 |
Modular degree for the optimal curve |
Δ |
-2643971657068532224 = -1 · 29 · 710 · 173 · 612 |
Discriminant |
Eigenvalues |
2- 2 3 7- -6 4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-165719,-82498067] |
[a1,a2,a3,a4,a6] |
Generators |
[228809:3389406:343] |
Generators of the group modulo torsion |
j |
-1781805879553/9360011776 |
j-invariant |
L |
18.615984791814 |
L(r)(E,1)/r! |
Ω |
0.10654977991697 |
Real period |
R |
9.7064618718565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101626t1 |
Quadratic twists by: -7 |