Atkin-Lehner |
3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
127743bb |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
80640000 |
Modular degree for the optimal curve |
Δ |
-7.2495104682755E+23 |
Discriminant |
Eigenvalues |
-2 3- 4 7- 11+ 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-313453016,2136315568328] |
[a1,a2,a3,a4,a6] |
Generators |
[10348:29767:1] |
Generators of the group modulo torsion |
j |
-28950284246034434347012096/6161982225327448443 |
j-invariant |
L |
6.5714817610819 |
L(r)(E,1)/r! |
Ω |
0.087728929299873 |
Real period |
R |
1.872666723454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998443534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18249h1 |
Quadratic twists by: -7 |