Atkin-Lehner |
2+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1786c |
Isogeny class |
Conductor |
1786 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
560 |
Modular degree for the optimal curve |
Δ |
-5372288 = -1 · 27 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 3 0 1 0 3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,38,-76] |
[a1,a2,a3,a4,a6] |
j |
5979018375/5372288 |
j-invariant |
L |
2.6503733398333 |
L(r)(E,1)/r! |
Ω |
1.3251866699167 |
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 |
14288a1 57152a1 16074h1 44650x1 |
Quadratic twists by: -4 8 -3 5 |