Atkin-Lehner |
2- 3- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25080v |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
68498796960000 = 28 · 34 · 54 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76660,8134400] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:3990:1] |
Generators of the group modulo torsion |
j |
194623759185330256/267573425625 |
j-invariant |
L |
7.2034583121705 |
L(r)(E,1)/r! |
Ω |
0.6163439223429 |
Real period |
R |
1.4609250718308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
50160g2 75240c2 125400g2 |
Quadratic twists by: -4 -3 5 |