Atkin-Lehner |
2+ 3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008o |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3273984 |
Modular degree for the optimal curve |
Δ |
-7.0661461851635E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 11- 1 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1410520,-1104974877] |
[a1,a2,a3,a4,a6] |
j |
19397294832612610529024/44163413657272010871 |
j-invariant |
L |
3.4992025972189 |
L(r)(E,1)/r! |
Ω |
0.083314348410896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504s1 |
Quadratic twists by: -4 |