Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98400z |
Isogeny class |
Conductor |
98400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-984000000 = -1 · 29 · 3 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 5 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-1512] |
[a1,a2,a3,a4,a6] |
Generators |
[8406:5734:729] |
Generators of the group modulo torsion |
j |
-8/123 |
j-invariant |
L |
9.5581402655283 |
L(r)(E,1)/r! |
Ω |
0.71243229137704 |
Real period |
R |
6.7081043199583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98400i1 3936c1 |
Quadratic twists by: -4 5 |