Atkin-Lehner |
2+ 3+ 5- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93840j |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
433152 |
Modular degree for the optimal curve |
Δ |
523656232313040 = 24 · 32 · 5 · 173 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20355,199962] |
[a1,a2,a3,a4,a6] |
j |
58295950191486976/32728514519565 |
j-invariant |
L |
0.45008032643664 |
L(r)(E,1)/r! |
Ω |
0.45008032934335 |
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 |
46920y1 |
Quadratic twists by: -4 |