Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cm |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
3850434261495360 = 26 · 36 · 5 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108721,-13480279] |
[a1,a2,a3,a4,a6] |
j |
80224711835689/2173469760 |
j-invariant |
L |
4.740368130161 |
L(r)(E,1)/r! |
Ω |
0.26335378500895 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230bv1 127050bi1 2310i1 |
Quadratic twists by: -3 5 -11 |