Atkin-Lehner |
2+ 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
93024m |
Isogeny class |
Conductor |
93024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
286327872 = 26 · 36 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 6 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261,-1404] |
[a1,a2,a3,a4,a6] |
Generators |
[64:494:1] |
Generators of the group modulo torsion |
j |
42144192/6137 |
j-invariant |
L |
6.7628555983953 |
L(r)(E,1)/r! |
Ω |
1.199338850306 |
Real period |
R |
2.8194098745432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93024bm1 10336h1 |
Quadratic twists by: -4 -3 |