Atkin-Lehner |
2- 3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494ch |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
520 |
Product of Tamagawa factors cp |
deg |
18170880 |
Modular degree for the optimal curve |
Δ |
-2.6210532660947E+24 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -3 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26722229,94315628877] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:307152:1] |
Generators of the group modulo torsion |
j |
-2894770997726539546298377/3595409144162838503424 |
j-invariant |
L |
7.7796125644277 |
L(r)(E,1)/r! |
Ω |
0.073271293366942 |
Real period |
R |
0.20418355906247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999574606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498p1 |
Quadratic twists by: -3 |