Atkin-Lehner |
2- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
44896d |
Isogeny class |
Conductor |
44896 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
105408 |
Modular degree for the optimal curve |
Δ |
-11311832379392 = -1 · 212 · 233 · 613 |
Discriminant |
Eigenvalues |
2- 0 4 -3 -3 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2488,168720] |
[a1,a2,a3,a4,a6] |
Generators |
[240:3660:1] |
Generators of the group modulo torsion |
j |
-415829113344/2761677827 |
j-invariant |
L |
6.7463106564044 |
L(r)(E,1)/r! |
Ω |
0.61774463430733 |
Real period |
R |
1.8201454888557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44896f1 89792i1 |
Quadratic twists by: -4 8 |