Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370bn |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-276215934720000000 = -1 · 214 · 3 · 57 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4758,25286056] |
[a1,a2,a3,a4,a6] |
Generators |
[790:22292:1] |
Generators of the group modulo torsion |
j |
-2423924253737/56221440000000 |
j-invariant |
L |
6.037720790448 |
L(r)(E,1)/r! |
Ω |
0.2469239685452 |
Real period |
R |
1.7465528813481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95370i1 |
Quadratic twists by: 17 |