Atkin-Lehner |
2- 3- 7+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
28938r |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-4809727104 = -1 · 27 · 3 · 73 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -3 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-461,-5103] |
[a1,a2,a3,a4,a6] |
Generators |
[36:141:1] |
Generators of the group modulo torsion |
j |
-10836408452689/4809727104 |
j-invariant |
L |
9.3089446989005 |
L(r)(E,1)/r! |
Ω |
0.50431048198272 |
Real period |
R |
1.3184826512744 |
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 |
86814n1 |
Quadratic twists by: -3 |