Atkin-Lehner |
2+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
25850c |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
6.5595768832E+20 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 11- -5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10134075,-12360147875] |
[a1,a2,a3,a4,a6] |
Generators |
[4486:177981:1] |
Generators of the group modulo torsion |
j |
11786261648750101825/67170067283968 |
j-invariant |
L |
1.8045947667107 |
L(r)(E,1)/r! |
Ω |
0.084645244195511 |
Real period |
R |
3.5532509511945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25850p1 |
Quadratic twists by: 5 |