Atkin-Lehner |
2+ 3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370d |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-340761600 = -1 · 210 · 33 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-129,1085] |
[a1,a2,a3,a4,a6] |
j |
-8831234763/12620800 |
j-invariant |
L |
3.0747799340308 |
L(r)(E,1)/r! |
Ω |
1.5373899672276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44370bb1 |
Quadratic twists by: -3 |