Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
20976c |
Isogeny class |
Conductor |
20976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-23157504 = -1 · 28 · 32 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 3 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401,-3237] |
[a1,a2,a3,a4,a6] |
j |
-27925402624/90459 |
j-invariant |
L |
2.1328926910321 |
L(r)(E,1)/r! |
Ω |
0.53322317275803 |
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 |
10488b1 83904y1 62928h1 |
Quadratic twists by: -4 8 -3 |