Atkin-Lehner |
2+ 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742h |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
818688 |
Modular degree for the optimal curve |
Δ |
-263034002447892 = -1 · 22 · 32 · 1310 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 -2 13+ 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-243364,46195814] |
[a1,a2,a3,a4,a6] |
j |
-11562630001/1908 |
j-invariant |
L |
2.1370713459256 |
L(r)(E,1)/r! |
Ω |
0.53426783604607 |
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 |
53742v1 |
Quadratic twists by: 13 |