Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235bm |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
42000 |
Modular degree for the optimal curve |
Δ |
-2695021875 = -1 · 36 · 55 · 7 · 132 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -3 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-117,-2545] |
[a1,a2,a3,a4,a6] |
j |
-1437696/21875 |
j-invariant |
L |
3.0816794108695 |
L(r)(E,1)/r! |
Ω |
0.61633588256119 |
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 |
5915e1 53235m1 |
Quadratic twists by: -3 13 |