Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722r |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5136768 |
Modular degree for the optimal curve |
Δ |
-1.6126072829328E+20 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 6 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-827709,676445381] |
[a1,a2,a3,a4,a6] |
Generators |
[725:21016:1] |
Generators of the group modulo torsion |
j |
-17822531769561/45829062656 |
j-invariant |
L |
5.1435618740849 |
L(r)(E,1)/r! |
Ω |
0.1606526003392 |
Real period |
R |
4.0020842049303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13858j1 9594q1 |
Quadratic twists by: -3 13 |