Atkin-Lehner |
2- 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
93840bz |
Isogeny class |
Conductor |
93840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-1055700000000 = -1 · 28 · 33 · 58 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1284,46584] |
[a1,a2,a3,a4,a6] |
Generators |
[239:3750:1] |
Generators of the group modulo torsion |
j |
913777664816/4123828125 |
j-invariant |
L |
8.880061975581 |
L(r)(E,1)/r! |
Ω |
0.62630649801548 |
Real period |
R |
2.3630767587801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999528 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23460a1 |
Quadratic twists by: -4 |