Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900i |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-650070750000 = -1 · 24 · 3 · 56 · 74 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7733,-262038] |
[a1,a2,a3,a4,a6] |
j |
-204589760512/2600283 |
j-invariant |
L |
1.017441186964 |
L(r)(E,1)/r! |
Ω |
0.25436029672787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700bj1 1596d1 |
Quadratic twists by: -3 5 |