Atkin-Lehner |
2- 3+ 41- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
107748b |
Isogeny class |
Conductor |
107748 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
-1292976 = -1 · 24 · 33 · 41 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 0 5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-732,-7623] |
[a1,a2,a3,a4,a6] |
Generators |
[42:189:1] |
Generators of the group modulo torsion |
j |
-100409131008/2993 |
j-invariant |
L |
8.3775951195301 |
L(r)(E,1)/r! |
Ω |
0.45892425549045 |
Real period |
R |
3.0424756102564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107748a1 |
Quadratic twists by: -3 |