Atkin-Lehner |
2- 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
31974k |
Isogeny class |
Conductor |
31974 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
340992 |
Modular degree for the optimal curve |
Δ |
25453206187999488 = 28 · 32 · 737 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101362,9723263] |
[a1,a2,a3,a4,a6] |
j |
761048497/168192 |
j-invariant |
L |
5.6912182178908 |
L(r)(E,1)/r! |
Ω |
0.35570113861777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95922e1 438f1 |
Quadratic twists by: -3 73 |