Atkin-Lehner |
3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53067d |
Isogeny class |
Conductor |
53067 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
301644 |
Modular degree for the optimal curve |
Δ |
-813630425504043 = -1 · 3 · 78 · 196 |
Discriminant |
Eigenvalues |
-2 3+ -2 7+ -2 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-41274,-3493414] |
[a1,a2,a3,a4,a6] |
j |
-28672/3 |
j-invariant |
L |
0.1664897762459 |
L(r)(E,1)/r! |
Ω |
0.16648977446143 |
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 |
53067w1 147b1 |
Quadratic twists by: -7 -19 |