Atkin-Lehner |
2+ 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
26226f |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
32663329056 = 25 · 36 · 313 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 -2 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4128,102752] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:468:1] |
Generators of the group modulo torsion |
j |
10672703078913/44805664 |
j-invariant |
L |
5.2777931491597 |
L(r)(E,1)/r! |
Ω |
1.173628503556 |
Real period |
R |
4.4969878740744 |
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 |
2914e1 |
Quadratic twists by: -3 |