Atkin-Lehner |
37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
99937a |
Isogeny class |
Conductor |
99937 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-38877191929 = -1 · 372 · 734 |
Discriminant |
Eigenvalues |
1 -2 -1 -2 0 2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-399,9935] |
[a1,a2,a3,a4,a6] |
Generators |
[788:4903:64] |
Generators of the group modulo torsion |
j |
-5112971281/28398241 |
j-invariant |
L |
3.9343225879996 |
L(r)(E,1)/r! |
Ω |
0.99557110977633 |
Real period |
R |
1.9759123913312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99937b1 |
Quadratic twists by: 37 |