Atkin-Lehner |
2+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
48598a |
Isogeny class |
Conductor |
48598 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1840896 |
Modular degree for the optimal curve |
Δ |
-3.7764014880497E+20 |
Discriminant |
Eigenvalues |
2+ 1 2 4 11+ -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1295625,-1093896372] |
[a1,a2,a3,a4,a6] |
j |
-10101324553/15859712 |
j-invariant |
L |
3.3531443763572 |
L(r)(E,1)/r! |
Ω |
0.067062887532702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48598c1 |
Quadratic twists by: -47 |