Atkin-Lehner |
2- 3- 7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
34314y |
Isogeny class |
Conductor |
34314 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
212511817728 = 216 · 34 · 72 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1602,10692] |
[a1,a2,a3,a4,a6] |
j |
454703388586273/212511817728 |
j-invariant |
L |
7.143450998473 |
L(r)(E,1)/r! |
Ω |
0.8929313748088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102942s1 |
Quadratic twists by: -3 |