Atkin-Lehner |
2+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20938b |
Isogeny class |
Conductor |
20938 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-32278008836194304 = -1 · 216 · 198 · 29 |
Discriminant |
Eigenvalues |
2+ 1 -1 0 3 5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-130329,-20077572] |
[a1,a2,a3,a4,a6] |
j |
-5203798902289/686096384 |
j-invariant |
L |
0.99774477155439 |
L(r)(E,1)/r! |
Ω |
0.1247180964443 |
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 |
1102c1 |
Quadratic twists by: -19 |