Atkin-Lehner |
5+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
15725c |
Isogeny class |
Conductor |
15725 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23760 |
Modular degree for the optimal curve |
Δ |
-18419488578125 = -1 · 56 · 17 · 375 |
Discriminant |
Eigenvalues |
1 0 5+ 1 -5 2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4267,233766] |
[a1,a2,a3,a4,a6] |
Generators |
[9954:120462:343] |
Generators of the group modulo torsion |
j |
-549957165057/1178847269 |
j-invariant |
L |
5.1283434257897 |
L(r)(E,1)/r! |
Ω |
0.61208256806209 |
Real period |
R |
8.3785157319976 |
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 |
629d1 |
Quadratic twists by: 5 |