Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10640v |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-109337116672000 = -1 · 227 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 3 -7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26160,-1695808] |
[a1,a2,a3,a4,a6] |
Generators |
[1874:80790:1] |
Generators of the group modulo torsion |
j |
-483385461758641/26693632000 |
j-invariant |
L |
6.531829919714 |
L(r)(E,1)/r! |
Ω |
0.18709732949315 |
Real period |
R |
5.8185668544894 |
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 |
1330j1 42560cg1 95760dc1 53200cm1 |
Quadratic twists by: -4 8 -3 5 |