Atkin-Lehner |
3- 5- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
76095j |
Isogeny class |
Conductor |
76095 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
10103808 |
Modular degree for the optimal curve |
Δ |
-8.6133804467044E+23 |
Discriminant |
Eigenvalues |
2 3- 5- 0 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1986897,44665424095] |
[a1,a2,a3,a4,a6] |
Generators |
[-28126:724181:8] |
Generators of the group modulo torsion |
j |
-1189932279583198818304/1181533668958079296875 |
j-invariant |
L |
14.120972277598 |
L(r)(E,1)/r! |
Ω |
0.07176615010675 |
Real period |
R |
6.1488652098424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25365b1 |
Quadratic twists by: -3 |