Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350bx |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-42355248975000000 = -1 · 26 · 33 · 58 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25438,10013531] |
[a1,a2,a3,a4,a6] |
j |
-24137569/561600 |
j-invariant |
L |
3.6380099937069 |
L(r)(E,1)/r! |
Ω |
0.30316749947558 |
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 |
76050bh1 5070k1 1950a1 |
Quadratic twists by: -3 5 13 |