Atkin-Lehner |
2+ 3- 7- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
124614j |
Isogeny class |
Conductor |
124614 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
325632 |
Modular degree for the optimal curve |
Δ |
-1175788792458 = -1 · 2 · 38 · 72 · 23 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -2 4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3879,107599] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1289:1] |
Generators of the group modulo torsion |
j |
-8855610342769/1612879002 |
j-invariant |
L |
3.68453175777 |
L(r)(E,1)/r! |
Ω |
0.83255476996997 |
Real period |
R |
0.36879773828615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999017481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41538j1 |
Quadratic twists by: -3 |