Atkin-Lehner |
3- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701q |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5846400 |
Modular degree for the optimal curve |
Δ |
-6.7384656418757E+19 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ 1 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19490511,33120166825] |
[a1,a2,a3,a4,a6] |
Generators |
[7243093331224761:7603276889473033:2888161399521] |
Generators of the group modulo torsion |
j |
-20291352553804855375/1669854603549 |
j-invariant |
L |
8.4360595185653 |
L(r)(E,1)/r! |
Ω |
0.18655048141637 |
Real period |
R |
22.610661346235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85701b1 |
Quadratic twists by: -7 |