Atkin-Lehner |
3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22425n |
Isogeny class |
Conductor |
22425 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2435652986203125 = 34 · 56 · 13 · 236 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -2 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-134063,18732492] |
[a1,a2,a3,a4,a6] |
Generators |
[52:3424:1] |
Generators of the group modulo torsion |
j |
17054173989052201/155881791117 |
j-invariant |
L |
3.4145696971419 |
L(r)(E,1)/r! |
Ω |
0.46072203276286 |
Real period |
R |
0.61761204050834 |
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 |
67275i2 897a2 |
Quadratic twists by: -3 5 |