Atkin-Lehner |
2+ 3- 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350x |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2826240 |
Modular degree for the optimal curve |
Δ |
2676012166486656000 = 210 · 34 · 53 · 178 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4454766,-3618488672] |
[a1,a2,a3,a4,a6] |
j |
78214675534319618484749/21408097331893248 |
j-invariant |
L |
0.83136248312013 |
L(r)(E,1)/r! |
Ω |
0.10392032008483 |
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 |
94350br1 |
Quadratic twists by: 5 |