Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040bm |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-7637760 = -1 · 28 · 33 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1461,-21015] |
[a1,a2,a3,a4,a6] |
Generators |
[1381:51282:1] |
Generators of the group modulo torsion |
j |
-1348129521664/29835 |
j-invariant |
L |
5.0600412150823 |
L(r)(E,1)/r! |
Ω |
0.38608387162065 |
Real period |
R |
6.5530336631389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13260k1 |
Quadratic twists by: -4 |