Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bx |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
914951953125 = 39 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -3 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15375,-732344] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:13:1] |
Generators of the group modulo torsion |
j |
1411502080/3213 |
j-invariant |
L |
2.7286080746064 |
L(r)(E,1)/r! |
Ω |
0.42880039253586 |
Real period |
R |
1.590838139437 |
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 |
8925m1 26775y1 |
Quadratic twists by: -3 5 |