Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824s |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1235337412608 = 216 · 38 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2955,31034] |
[a1,a2,a3,a4,a6] |
Generators |
[5:128:1] |
Generators of the group modulo torsion |
j |
955671625/413712 |
j-invariant |
L |
5.9648422087946 |
L(r)(E,1)/r! |
Ω |
0.77776753134953 |
Real period |
R |
1.9172959683868 |
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 |
3978g1 127296co1 10608p1 |
Quadratic twists by: -4 8 -3 |