Atkin-Lehner |
2+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44992q |
Isogeny class |
Conductor |
44992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-210614194978816 = -1 · 214 · 193 · 374 |
Discriminant |
Eigenvalues |
2+ -2 -3 -3 3 0 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125637,-17196701] |
[a1,a2,a3,a4,a6] |
j |
-13386279925445632/12854870299 |
j-invariant |
L |
0.76070474245669 |
L(r)(E,1)/r! |
Ω |
0.12678412377606 |
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 |
44992z1 5624b1 |
Quadratic twists by: -4 8 |