Atkin-Lehner |
2+ 3+ 5+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
122550k |
Isogeny class |
Conductor |
122550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-19963548187500000 = -1 · 25 · 3 · 59 · 195 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-109750,15512500] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:4535:1] |
Generators of the group modulo torsion |
j |
-9356716174635361/1277667084000 |
j-invariant |
L |
2.9769966917761 |
L(r)(E,1)/r! |
Ω |
0.37257759780447 |
Real period |
R |
0.79902728333738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24510v1 |
Quadratic twists by: 5 |