Atkin-Lehner |
3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
20295i |
Isogeny class |
Conductor |
20295 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
2260355625 = 36 · 54 · 112 · 41 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1005,-11800] |
[a1,a2,a3,a4,a6] |
j |
154076860881/3100625 |
j-invariant |
L |
1.6978486463593 |
L(r)(E,1)/r! |
Ω |
0.84892432317967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2255a1 101475bg1 |
Quadratic twists by: -3 5 |