Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85848o |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
79150482432 = 210 · 32 · 76 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10600,-416324] |
[a1,a2,a3,a4,a6] |
Generators |
[142:960:1] |
Generators of the group modulo torsion |
j |
1093437796/657 |
j-invariant |
L |
3.49582359767 |
L(r)(E,1)/r! |
Ω |
0.47052785339667 |
Real period |
R |
3.7147892249708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752l1 |
Quadratic twists by: -7 |