Atkin-Lehner |
2- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25850o |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
12925000000 = 26 · 58 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11+ -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6888,219392] |
[a1,a2,a3,a4,a6] |
Generators |
[-634:4467:8] |
Generators of the group modulo torsion |
j |
92522430625/33088 |
j-invariant |
L |
10.199364004804 |
L(r)(E,1)/r! |
Ω |
1.238062126381 |
Real period |
R |
4.1190840861182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
25850a1 |
Quadratic twists by: 5 |