Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25080x |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
509495184000000 = 210 · 36 · 56 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1881000,992331648] |
[a1,a2,a3,a4,a6] |
Generators |
[816:-1200:1] |
Generators of the group modulo torsion |
j |
718770712949455716004/497553890625 |
j-invariant |
L |
6.1138685025181 |
L(r)(E,1)/r! |
Ω |
0.43273477456193 |
Real period |
R |
0.7849134879323 |
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 |
50160i2 75240h2 125400m2 |
Quadratic twists by: -4 -3 5 |