Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25578h |
Isogeny class |
Conductor |
25578 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2072597076794335392 = 25 · 318 · 78 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2135772,-1198847952] |
[a1,a2,a3,a4,a6] |
Generators |
[280355:8950866:125] |
Generators of the group modulo torsion |
j |
12562403073144625/24165685152 |
j-invariant |
L |
4.1639810320979 |
L(r)(E,1)/r! |
Ω |
0.12489958921531 |
Real period |
R |
8.3346571799359 |
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 |
8526ba2 3654e2 |
Quadratic twists by: -3 -7 |