Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
26334bj |
Isogeny class |
Conductor |
26334 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-303015429674496 = -1 · 29 · 33 · 74 · 113 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33644,2526959] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-449:1] |
Generators of the group modulo torsion |
j |
-155980647587944899/11222793691648 |
j-invariant |
L |
6.6981868012736 |
L(r)(E,1)/r! |
Ω |
0.53586157177657 |
Real period |
R |
0.17360896384393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26334f2 |
Quadratic twists by: -3 |