Atkin-Lehner |
5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4225f |
Isogeny class |
Conductor |
4225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
54925 = 52 · 133 |
Discriminant |
Eigenvalues |
2 -1 5+ -2 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-238,-1337] |
[a1,a2,a3,a4,a6] |
j |
27258880 |
j-invariant |
L |
2.4301568739857 |
L(r)(E,1)/r! |
Ω |
1.2150784369928 |
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 |
67600co1 38025cd1 4225q2 4225g1 |
Quadratic twists by: -4 -3 5 13 |