Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cq |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
74304000000 = 212 · 33 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9808,370388] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-150:1] |
Generators of the group modulo torsion |
j |
1630532233/1161 |
j-invariant |
L |
7.6938168920358 |
L(r)(E,1)/r! |
Ω |
1.0807797762138 |
Real period |
R |
0.59323038956159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3225c1 2064i1 |
Quadratic twists by: -4 5 |