Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200t |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-3726143750000 = -1 · 24 · 58 · 72 · 233 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23408,1373813] |
[a1,a2,a3,a4,a6] |
Generators |
[98:175:1] |
Generators of the group modulo torsion |
j |
-5674076449024/14904575 |
j-invariant |
L |
6.8602409342874 |
L(r)(E,1)/r! |
Ω |
0.78934951991535 |
Real period |
R |
1.086375674084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400j1 6440b1 |
Quadratic twists by: -4 5 |