Atkin-Lehner |
2- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15428b |
Isogeny class |
Conductor |
15428 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-1642996047523437824 = -1 · 28 · 74 · 194 · 295 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 3 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-295316,87187268] |
[a1,a2,a3,a4,a6] |
Generators |
[308:5054:1] |
Generators of the group modulo torsion |
j |
-11126181736405205584/6417953310638429 |
j-invariant |
L |
5.9511384050583 |
L(r)(E,1)/r! |
Ω |
0.24711034027499 |
Real period |
R |
1.0034549745463 |
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 |
61712i1 107996f1 |
Quadratic twists by: -4 -7 |