Atkin-Lehner |
5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
2255a |
Isogeny class |
Conductor |
2255 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
3100625 = 54 · 112 · 41 |
Discriminant |
Eigenvalues |
-1 0 5- 4 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-112,474] |
[a1,a2,a3,a4,a6] |
j |
154076860881/3100625 |
j-invariant |
L |
1.2635155024919 |
L(r)(E,1)/r! |
Ω |
2.5270310049837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36080r1 20295i1 11275b1 110495a1 |
Quadratic twists by: -4 -3 5 -7 |