Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350cr |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
644 |
Product of Tamagawa factors cp |
deg |
649152 |
Modular degree for the optimal curve |
Δ |
-2.8779428011888E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1519398,-765808668] |
[a1,a2,a3,a4,a6] |
Generators |
[2796:-131190:1] |
Generators of the group modulo torsion |
j |
-3214683778008145/238496514048 |
j-invariant |
L |
9.5979029397293 |
L(r)(E,1)/r! |
Ω |
0.067702285340283 |
Real period |
R |
0.22013401642885 |
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 |
76050bb1 25350n1 1950f1 |
Quadratic twists by: -3 5 13 |