Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350x |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
705920816250000 = 24 · 32 · 57 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-57126,5092648] |
[a1,a2,a3,a4,a6] |
j |
273359449/9360 |
j-invariant |
L |
2.0205258901117 |
L(r)(E,1)/r! |
Ω |
0.50513147252795 |
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 |
76050ec1 5070q1 1950w1 |
Quadratic twists by: -3 5 13 |