Atkin-Lehner |
3- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
85701t |
Isogeny class |
Conductor |
85701 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-1.4827288266678E+22 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 11+ 3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1955787,-5952535254] |
[a1,a2,a3,a4,a6] |
Generators |
[2622:82038:1] |
Generators of the group modulo torsion |
j |
-7032344716371443617/126029870773893009 |
j-invariant |
L |
3.7557767616108 |
L(r)(E,1)/r! |
Ω |
0.053667577046356 |
Real period |
R |
1.0934723565489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926763 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12243a1 |
Quadratic twists by: -7 |