Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25440z |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
95400000 = 26 · 32 · 55 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55210,5011600] |
[a1,a2,a3,a4,a6] |
Generators |
[130:120:1] |
Generators of the group modulo torsion |
j |
290806993019813824/1490625 |
j-invariant |
L |
5.2329612600108 |
L(r)(E,1)/r! |
Ω |
1.2886450800528 |
Real period |
R |
0.81216486075379 |
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 |
25440q1 50880bb1 76320k1 127200bc1 |
Quadratic twists by: -4 8 -3 5 |