Atkin-Lehner |
2- 3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2622d |
Isogeny class |
Conductor |
2622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-1961135388 = -1 · 22 · 310 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11,2135] |
[a1,a2,a3,a4,a6] |
j |
146363183/1961135388 |
j-invariant |
L |
2.3293889469005 |
L(r)(E,1)/r! |
Ω |
1.1646944734502 |
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 |
20976i1 83904h1 7866i1 65550be1 |
Quadratic twists by: -4 8 -3 5 |