Atkin-Lehner |
2+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070l |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
9434880 |
Modular degree for the optimal curve |
Δ |
-5.4673694136875E+22 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 11- 4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-83937098,296198077756] |
[a1,a2,a3,a4,a6] |
Generators |
[5170:-23523:1] |
Generators of the group modulo torsion |
j |
-36917258613587289056881/30861875000000000 |
j-invariant |
L |
6.0989725652976 |
L(r)(E,1)/r! |
Ω |
0.11109418351579 |
Real period |
R |
1.0557522475519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370h1 |
Quadratic twists by: -11 |