Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350ck |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
1.884353260461E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 5 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3942013,-2172621469] |
[a1,a2,a3,a4,a6] |
Generators |
[-615:4732:1] |
Generators of the group modulo torsion |
j |
125801065/34992 |
j-invariant |
L |
6.2539579860541 |
L(r)(E,1)/r! |
Ω |
0.10939477828546 |
Real period |
R |
4.7640588853755 |
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 |
76050cx1 25350bi1 25350s1 |
Quadratic twists by: -3 5 13 |