Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800d |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
14630625000000 = 26 · 34 · 510 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7758,190512] |
[a1,a2,a3,a4,a6] |
Generators |
[23:154:1] |
Generators of the group modulo torsion |
j |
51645087424/14630625 |
j-invariant |
L |
5.6923064785878 |
L(r)(E,1)/r! |
Ω |
0.65374915088209 |
Real period |
R |
4.3535861353745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40800y1 81600ie2 122400dt1 8160r1 |
Quadratic twists by: -4 8 -3 5 |