Atkin-Lehner |
5- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28675f |
Isogeny class |
Conductor |
28675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25680 |
Modular degree for the optimal curve |
Δ |
-13889453125 = -1 · 58 · 312 · 37 |
Discriminant |
Eigenvalues |
1 2 5- 2 -4 2 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4950,132125] |
[a1,a2,a3,a4,a6] |
Generators |
[1020:-1285:27] |
Generators of the group modulo torsion |
j |
-34349178505/35557 |
j-invariant |
L |
9.4628180814895 |
L(r)(E,1)/r! |
Ω |
1.2483416745947 |
Real period |
R |
1.2633851604986 |
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 |
28675e1 |
Quadratic twists by: 5 |