Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070bc |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
225 |
Product of Tamagawa factors cp |
deg |
324000 |
Modular degree for the optimal curve |
Δ |
-80460405485568000 = -1 · 215 · 315 · 53 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,22449,13587705] |
[a1,a2,a3,a4,a6] |
Generators |
[246:5709:1] |
Generators of the group modulo torsion |
j |
913923942103079/58773123072000 |
j-invariant |
L |
10.75912129596 |
L(r)(E,1)/r! |
Ω |
0.26116221527828 |
Real period |
R |
0.18309814388723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210bn1 41070m1 |
Quadratic twists by: -3 37 |