Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350cb |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
2096640 |
Modular degree for the optimal curve |
Δ |
-165185471002500000 = -1 · 25 · 34 · 57 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 -3 13+ 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20913838,-36821508469] |
[a1,a2,a3,a4,a6] |
j |
-79370312059129/12960 |
j-invariant |
L |
4.2358674911112 |
L(r)(E,1)/r! |
Ω |
0.035298895759258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050bw1 5070j1 25350j1 |
Quadratic twists by: -3 5 13 |