Atkin-Lehner |
2+ 3+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424b |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-1978712064 = -1 · 214 · 35 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -1 -1 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,2097] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:24:1] |
Generators of the group modulo torsion |
j |
3286064/120771 |
j-invariant |
L |
5.1982884241094 |
L(r)(E,1)/r! |
Ω |
1.1149727311305 |
Real period |
R |
2.3311280608362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424cs1 11928j1 |
Quadratic twists by: -4 8 |