Atkin-Lehner |
2- 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65100z |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-23436000000 = -1 · 28 · 33 · 56 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,-8937] |
[a1,a2,a3,a4,a6] |
j |
-4194304/5859 |
j-invariant |
L |
4.2539475062271 |
L(r)(E,1)/r! |
Ω |
0.472660834506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2604a1 |
Quadratic twists by: 5 |