Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600cc |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
740080800000000 = 211 · 39 · 58 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 0 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2800875,-1804216250] |
[a1,a2,a3,a4,a6] |
j |
4166653427090/1269 |
j-invariant |
L |
1.4004171020435 |
L(r)(E,1)/r! |
Ω |
0.1167014174029 |
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 |
28200p1 84600u1 |
Quadratic twists by: -3 5 |