Atkin-Lehner |
7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
48503c |
Isogeny class |
Conductor |
48503 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1410240 |
Modular degree for the optimal curve |
Δ |
-299604329037140491 = -1 · 75 · 139 · 412 |
Discriminant |
Eigenvalues |
-2 2 -3 7+ -6 13- 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,109118,22347782] |
[a1,a2,a3,a4,a6] |
j |
13549359104/28252567 |
j-invariant |
L |
0.85029520041494 |
L(r)(E,1)/r! |
Ω |
0.21257380025321 |
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 |
48503i1 |
Quadratic twists by: 13 |