Atkin-Lehner |
2- 3- 5- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26220j |
Isogeny class |
Conductor |
26220 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
-69922950624000 = -1 · 28 · 36 · 53 · 194 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 4 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29525,-2003577] |
[a1,a2,a3,a4,a6] |
Generators |
[346:5415:1] |
Generators of the group modulo torsion |
j |
-11119062591471616/273136525875 |
j-invariant |
L |
7.641617401876 |
L(r)(E,1)/r! |
Ω |
0.18184044454926 |
Real period |
R |
1.1673263919821 |
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 |
104880cc1 78660i1 |
Quadratic twists by: -4 -3 |