Atkin-Lehner |
2+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84280l |
Isogeny class |
Conductor |
84280 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
5277888 |
Modular degree for the optimal curve |
Δ |
-5.22296735401E+22 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -3 5 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2849987,-11150402466] |
[a1,a2,a3,a4,a6] |
Generators |
[15458:1907480:1] |
Generators of the group modulo torsion |
j |
-4425292653138/90283203125 |
j-invariant |
L |
6.8176893168773 |
L(r)(E,1)/r! |
Ω |
0.048455864923556 |
Real period |
R |
6.3954068198225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998595 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84280c1 |
Quadratic twists by: -7 |