Atkin-Lehner |
3- 5+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44175l |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-14202952734375 = -1 · 32 · 58 · 194 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,624,181273] |
[a1,a2,a3,a4,a6] |
Generators |
[23:444:1] |
Generators of the group modulo torsion |
j |
1723683599/908988975 |
j-invariant |
L |
7.8156423164747 |
L(r)(E,1)/r! |
Ω |
0.54796891392942 |
Real period |
R |
1.7828662625281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835f1 |
Quadratic twists by: 5 |