Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
25620j |
Isogeny class |
Conductor |
25620 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
18077472000 = 28 · 33 · 53 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20501,1122999] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1050:1] |
Generators of the group modulo torsion |
j |
3722460239233024/70615125 |
j-invariant |
L |
5.9119174177527 |
L(r)(E,1)/r! |
Ω |
1.1290573170062 |
Real period |
R |
1.745384498704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102480ba1 76860q1 128100e1 |
Quadratic twists by: -4 -3 5 |