Atkin-Lehner |
2- 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10540c |
Isogeny class |
Conductor |
10540 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9936 |
Modular degree for the optimal curve |
Δ |
194947840 = 28 · 5 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3 5- -2 -4 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1567,-23866] |
[a1,a2,a3,a4,a6] |
Generators |
[-627:10:27] |
Generators of the group modulo torsion |
j |
1662228545616/761515 |
j-invariant |
L |
7.3775918932511 |
L(r)(E,1)/r! |
Ω |
0.75882957122901 |
Real period |
R |
3.2407768371064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42160v1 94860i1 52700c1 |
Quadratic twists by: -4 -3 5 |