Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391l |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3709440 |
Modular degree for the optimal curve |
Δ |
567938774619923553 = 37 · 74 · 112 · 197 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37819992,89506334664] |
[a1,a2,a3,a4,a6] |
j |
127164651399625564873/12072019113 |
j-invariant |
L |
0.44721338427913 |
L(r)(E,1)/r! |
Ω |
0.22360670944522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4389j1 |
Quadratic twists by: -19 |