Atkin-Lehner |
2- 3- 29+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55332a |
Isogeny class |
Conductor |
55332 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
71040 |
Modular degree for the optimal curve |
Δ |
-2850483312 = -1 · 24 · 37 · 29 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -5 -3 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16725,832529] |
[a1,a2,a3,a4,a6] |
Generators |
[40:477:1] |
Generators of the group modulo torsion |
j |
-44358268000000/244383 |
j-invariant |
L |
5.0335995482095 |
L(r)(E,1)/r! |
Ω |
1.2706214710811 |
Real period |
R |
0.99038141232445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18444d1 |
Quadratic twists by: -3 |