Atkin-Lehner |
3+ 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
28305a |
Isogeny class |
Conductor |
28305 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
-24180873046875 = -1 · 39 · 59 · 17 · 37 |
Discriminant |
Eigenvalues |
0 3+ 5+ -3 5 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24678,-1510792] |
[a1,a2,a3,a4,a6] |
Generators |
[174762:3728677:343] |
Generators of the group modulo torsion |
j |
-84442736590848/1228515625 |
j-invariant |
L |
3.288800154911 |
L(r)(E,1)/r! |
Ω |
0.19029019561271 |
Real period |
R |
8.6415386360852 |
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 |
28305c1 |
Quadratic twists by: -3 |