Atkin-Lehner |
2+ 3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422b |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-1191619291356 = -1 · 22 · 39 · 133 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-258,-52480] |
[a1,a2,a3,a4,a6] |
Generators |
[715:18745:1] |
Generators of the group modulo torsion |
j |
-96702579/60540532 |
j-invariant |
L |
3.8601040596059 |
L(r)(E,1)/r! |
Ω |
0.38937393792991 |
Real period |
R |
4.9568084604326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19422k1 |
Quadratic twists by: -3 |