Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536v |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3161088 |
Modular degree for the optimal curve |
Δ |
1.6098088254699E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 -2 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-53541640,-150764338214] |
[a1,a2,a3,a4,a6] |
Generators |
[-530205:364952:125] |
Generators of the group modulo torsion |
j |
265227624284867472408445504/25153262897967247743 |
j-invariant |
L |
3.493869318838 |
L(r)(E,1)/r! |
Ω |
0.055812195646389 |
Real period |
R |
3.477803530188 |
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 |
25536bf1 12768bd2 76608cq1 |
Quadratic twists by: -4 8 -3 |