Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121032j |
Isogeny class |
Conductor |
121032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
46476288 = 210 · 33 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 -1 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123,-410] |
[a1,a2,a3,a4,a6] |
j |
4428 |
j-invariant |
L |
5.8271287260804 |
L(r)(E,1)/r! |
Ω |
1.4567822630499 |
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 |
121032b1 121032k1 |
Quadratic twists by: -3 41 |