Atkin-Lehner |
3- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
26145k |
Isogeny class |
Conductor |
26145 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
-175772835 = -1 · 36 · 5 · 7 · 832 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 3 -5 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13152,580545] |
[a1,a2,a3,a4,a6] |
Generators |
[1785:-55:27] |
Generators of the group modulo torsion |
j |
-345121157545984/241115 |
j-invariant |
L |
4.5400463062261 |
L(r)(E,1)/r! |
Ω |
1.4958264819961 |
Real period |
R |
1.5175711758251 |
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 |
2905a1 |
Quadratic twists by: -3 |