Atkin-Lehner |
2+ 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658c |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2600640 |
Modular degree for the optimal curve |
Δ |
-9.9007565361083E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 1 -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,763599,404326269] |
[a1,a2,a3,a4,a6] |
Generators |
[479:29430:1] |
Generators of the group modulo torsion |
j |
4212803783/8470728 |
j-invariant |
L |
2.2707003065183 |
L(r)(E,1)/r! |
Ω |
0.13083898470543 |
Real period |
R |
4.3387303722884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77658bn1 |
Quadratic twists by: -43 |