Atkin-Lehner |
2- 3+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26334ba |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-921479328 = -1 · 25 · 39 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380,3295] |
[a1,a2,a3,a4,a6] |
Generators |
[1:53:1] |
Generators of the group modulo torsion |
j |
-307546875/46816 |
j-invariant |
L |
8.1224723902584 |
L(r)(E,1)/r! |
Ω |
1.5181640499998 |
Real period |
R |
0.53501941310357 |
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 |
26334a1 |
Quadratic twists by: -3 |