Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44850bv |
Isogeny class |
Conductor |
44850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-3279259776000000000 = -1 · 216 · 3 · 59 · 135 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,366812,16734992] |
[a1,a2,a3,a4,a6] |
j |
349328659013909639/209872625664000 |
j-invariant |
L |
4.9317178866451 |
L(r)(E,1)/r! |
Ω |
0.15411618395665 |
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 |
8970d1 |
Quadratic twists by: 5 |