Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210bm |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
-708662665522759680 = -1 · 211 · 36 · 5 · 377 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -3 0 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,153756,33156688] |
[a1,a2,a3,a4,a6] |
Generators |
[-874399:23668445:6859] |
Generators of the group modulo torsion |
j |
214921799/378880 |
j-invariant |
L |
5.8061762994393 |
L(r)(E,1)/r! |
Ω |
0.19602044384789 |
Real period |
R |
7.4050646908149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13690h1 3330q1 |
Quadratic twists by: -3 37 |