Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bs |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-49494016000000 = -1 · 217 · 56 · 11 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11- 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2608,-343212] |
[a1,a2,a3,a4,a6] |
Generators |
[82:32:1] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
2.9009571238779 |
L(r)(E,1)/r! |
Ω |
0.27488523375438 |
Real period |
R |
2.6383348098949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7150p1 2288l1 |
Quadratic twists by: -4 5 |