Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200dw |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-462997474508800 = -1 · 235 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11860,-908080] |
[a1,a2,a3,a4,a6] |
j |
28151260695/70647808 |
j-invariant |
L |
1.0869815324095 |
L(r)(E,1)/r! |
Ω |
0.27174559917279 |
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 |
123200bz1 30800bg1 123200hi1 |
Quadratic twists by: -4 8 5 |