Atkin-Lehner |
2+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25840l |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1611678999168640000 = -1 · 210 · 54 · 178 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 4 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-688307,228125794] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:18870:1] |
Generators of the group modulo torsion |
j |
-35218456169350007844/1573905272625625 |
j-invariant |
L |
5.2524877259041 |
L(r)(E,1)/r! |
Ω |
0.26437811187607 |
Real period |
R |
2.4834165017631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12920f4 103360ca3 129200b3 |
Quadratic twists by: -4 8 5 |