Atkin-Lehner |
7- 31- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
101773g |
Isogeny class |
Conductor |
101773 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
255744 |
Modular degree for the optimal curve |
Δ |
1643789357371 = 77 · 313 · 67 |
Discriminant |
Eigenvalues |
-1 -3 -1 7- 0 6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8658,306030] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:793:1] |
Generators of the group modulo torsion |
j |
610015948641/13971979 |
j-invariant |
L |
1.9082765837679 |
L(r)(E,1)/r! |
Ω |
0.84141989259318 |
Real period |
R |
0.18899368540742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000136522 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14539b1 |
Quadratic twists by: -7 |