Atkin-Lehner |
2- 3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42900ba |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-4318828800 = -1 · 28 · 3 · 52 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148,3188] |
[a1,a2,a3,a4,a6] |
j |
-56397520/674817 |
j-invariant |
L |
2.3489486885895 |
L(r)(E,1)/r! |
Ω |
1.1744743442604 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128700bc1 42900k1 |
Quadratic twists by: -3 5 |