Atkin-Lehner |
3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743y |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10368000 |
Modular degree for the optimal curve |
Δ |
-8.0653468497693E+22 |
Discriminant |
Eigenvalues |
0 3- 2 7- 11+ -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,10796203,-516620737] |
[a1,a2,a3,a4,a6] |
Generators |
[12259:1405099:1] |
Generators of the group modulo torsion |
j |
1182901432413845454848/685543170768070923 |
j-invariant |
L |
8.5101240130122 |
L(r)(E,1)/r! |
Ω |
0.064358873697351 |
Real period |
R |
6.6114612813878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999785396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18249f1 |
Quadratic twists by: -7 |