Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35550bl |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3599437500 = -1 · 22 · 36 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,220,-2653] |
[a1,a2,a3,a4,a6] |
Generators |
[169:2115:1] |
Generators of the group modulo torsion |
j |
103823/316 |
j-invariant |
L |
9.2640771033921 |
L(r)(E,1)/r! |
Ω |
0.71863426584588 |
Real period |
R |
3.2228066290741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3950d1 1422c1 |
Quadratic twists by: -3 5 |