Atkin-Lehner |
2- 3- 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650dl |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-1484272926720000 = -1 · 218 · 36 · 54 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27862,483492] |
[a1,a2,a3,a4,a6] |
Generators |
[196:3574:1] |
Generators of the group modulo torsion |
j |
3827186131559375/2374836682752 |
j-invariant |
L |
10.978258370635 |
L(r)(E,1)/r! |
Ω |
0.29555100641875 |
Real period |
R |
0.51590353948303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025844 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
109650f1 |
Quadratic twists by: 5 |