Atkin-Lehner |
2- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992bd |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-25558411782914048 = -1 · 219 · 19 · 376 |
Discriminant |
Eigenvalues |
2- 1 0 -5 0 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,73407,774335] |
[a1,a2,a3,a4,a6] |
Generators |
[9594:962407:729] |
Generators of the group modulo torsion |
j |
166874624291375/97497603542 |
j-invariant |
L |
4.2143009592438 |
L(r)(E,1)/r! |
Ω |
0.2280320042014 |
Real period |
R |
4.620295486573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44992e2 11248k2 |
Quadratic twists by: -4 8 |