Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
64980s |
Isogeny class |
Conductor |
64980 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-230220241200 = -1 · 24 · 313 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 6 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-23123] |
[a1,a2,a3,a4,a6] |
j |
-311296/54675 |
j-invariant |
L |
1.7680338616332 |
L(r)(E,1)/r! |
Ω |
0.44200846596823 |
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 |
21660bd1 64980k1 |
Quadratic twists by: -3 -19 |