Atkin-Lehner |
5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10535c |
Isogeny class |
Conductor |
10535 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-3161816875 = -1 · 54 · 76 · 43 |
Discriminant |
Eigenvalues |
0 0 5- 7- -1 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-392,4030] |
[a1,a2,a3,a4,a6] |
Generators |
[28:122:1] |
Generators of the group modulo torsion |
j |
-56623104/26875 |
j-invariant |
L |
3.6717423385002 |
L(r)(E,1)/r! |
Ω |
1.3242824372193 |
Real period |
R |
0.34657847858818 |
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 |
94815j1 52675d1 215a1 |
Quadratic twists by: -3 5 -7 |