Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578bb |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3162725886704328 = -1 · 23 · 39 · 77 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -3 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-117830,15830749] |
[a1,a2,a3,a4,a6] |
Generators |
[247:1199:1] |
Generators of the group modulo torsion |
j |
-78128296875/1365784 |
j-invariant |
L |
8.1844041677199 |
L(r)(E,1)/r! |
Ω |
0.44931704550641 |
Real period |
R |
0.75896706731282 |
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 |
25578e1 3654p2 |
Quadratic twists by: -3 -7 |