Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
25440h |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2588774400 = -1 · 212 · 32 · 52 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-305,3297] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:60:1] |
Generators of the group modulo torsion |
j |
-768575296/632025 |
j-invariant |
L |
5.7595214802659 |
L(r)(E,1)/r! |
Ω |
1.32225361757 |
Real period |
R |
1.0889592971677 |
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 |
25440t2 50880dh1 76320bd2 127200cz2 |
Quadratic twists by: -4 8 -3 5 |