Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050j |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-135720960000000 = -1 · 218 · 3 · 57 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-200526,-34583552] |
[a1,a2,a3,a4,a6] |
Generators |
[1383304:20018387:2197] |
Generators of the group modulo torsion |
j |
-57070627168555729/8686141440 |
j-invariant |
L |
3.6017277799094 |
L(r)(E,1)/r! |
Ω |
0.11280365721504 |
Real period |
R |
7.9822939008162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56400bh1 21150by1 1410g1 |
Quadratic twists by: -4 -3 5 |