Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
25200du |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6429780000000 = -1 · 28 · 38 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4425,45250] |
[a1,a2,a3,a4,a6] |
Generators |
[74:882:1] |
Generators of the group modulo torsion |
j |
3286064/2205 |
j-invariant |
L |
5.1538020606774 |
L(r)(E,1)/r! |
Ω |
0.47269615427453 |
Real period |
R |
2.7257478266282 |
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 |
6300n2 100800ln2 8400cb2 5040bh2 |
Quadratic twists by: -4 8 -3 5 |