Atkin-Lehner |
3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775n |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-104825380078125 = -1 · 33 · 58 · 7 · 175 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 0 -6 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-575180,168045572] |
[a1,a2,a3,a4,a6] |
Generators |
[450:208:1] |
Generators of the group modulo torsion |
j |
-1995310715276835/9938999 |
j-invariant |
L |
2.4806323682999 |
L(r)(E,1)/r! |
Ω |
0.52747527896892 |
Real period |
R |
0.47028409997695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26775k1 26775d1 |
Quadratic twists by: -3 5 |