Atkin-Lehner |
2+ 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25440q |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
42135000000000 = 29 · 3 · 510 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55240,-5005912] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:90:1] |
Generators of the group modulo torsion |
j |
36410162968802888/82294921875 |
j-invariant |
L |
6.2333912359653 |
L(r)(E,1)/r! |
Ω |
0.31145439416334 |
Real period |
R |
2.0013816959334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25440z2 50880h2 76320bq2 127200ce2 |
Quadratic twists by: -4 8 -3 5 |