Atkin-Lehner |
3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
26145u |
Isogeny class |
Conductor |
26145 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
69600 |
Modular degree for the optimal curve |
Δ |
-109858021875 = -1 · 36 · 55 · 7 · 832 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 3 -1 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9147,337095] |
[a1,a2,a3,a4,a6] |
Generators |
[594:2071:8] |
Generators of the group modulo torsion |
j |
-116100000354304/150696875 |
j-invariant |
L |
12.122031670404 |
L(r)(E,1)/r! |
Ω |
1.0531416594948 |
Real period |
R |
1.1510352440354 |
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 |
2905b1 |
Quadratic twists by: -3 |