Atkin-Lehner |
2- 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bm |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
48035890617974784 = 216 · 38 · 75 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-639266,-196287199] |
[a1,a2,a3,a4,a6] |
j |
39631486929966314713/65892854071296 |
j-invariant |
L |
2.7017338169846 |
L(r)(E,1)/r! |
Ω |
0.1688583636102 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16422m1 |
Quadratic twists by: -3 |