Atkin-Lehner |
3+ 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22425k |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
40704 |
Modular degree for the optimal curve |
Δ |
-20819257875 = -1 · 34 · 53 · 132 · 233 |
Discriminant |
Eigenvalues |
0 3+ 5- -5 2 13- -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11993,509588] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:517:1] [8:643:1] |
Generators of the group modulo torsion |
j |
-1526277183635456/166554063 |
j-invariant |
L |
5.0422208889446 |
L(r)(E,1)/r! |
Ω |
1.1639615946287 |
Real period |
R |
0.18049782570913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67275bd1 22425s1 |
Quadratic twists by: -3 5 |