Atkin-Lehner |
2- 5+ 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
113300b |
Isogeny class |
Conductor |
113300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
834624 |
Modular degree for the optimal curve |
Δ |
-826957588556000000 = -1 · 28 · 56 · 117 · 1032 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 11+ 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,223267,-16218337] |
[a1,a2,a3,a4,a6] |
j |
307705590161408/206739397139 |
j-invariant |
L |
0.96160497901277 |
L(r)(E,1)/r! |
Ω |
0.16026758040284 |
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 |
4532b1 |
Quadratic twists by: 5 |