Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
37950bs |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
6.0701576812246E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19227696,32428554238] |
[a1,a2,a3,a4,a6] |
Generators |
[2064:4749662:27] |
Generators of the group modulo torsion |
j |
6289200031265608678921133/4856126144979664896 |
j-invariant |
L |
6.0993913006459 |
L(r)(E,1)/r! |
Ω |
0.16149571699207 |
Real period |
R |
6.2946884023191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850fp1 37950cm1 |
Quadratic twists by: -3 5 |