Atkin-Lehner |
2- 3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25284b |
Isogeny class |
Conductor |
25284 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
776548459669248 = 28 · 314 · 73 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-74132,7677048] |
[a1,a2,a3,a4,a6] |
Generators |
[698:10927:8] |
Generators of the group modulo torsion |
j |
513112549232176/8843709681 |
j-invariant |
L |
5.6543849697142 |
L(r)(E,1)/r! |
Ω |
0.50501834530186 |
Real period |
R |
5.5981975925394 |
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 |
101136cz2 75852f2 25284i2 |
Quadratic twists by: -4 -3 -7 |