Atkin-Lehner |
2+ 3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080d |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
444416 |
Modular degree for the optimal curve |
Δ |
-46488545492400 = -1 · 24 · 314 · 52 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34171,-2441954] |
[a1,a2,a3,a4,a6] |
j |
-275796978629822464/2905534093275 |
j-invariant |
L |
3.1583034586379 |
L(r)(E,1)/r! |
Ω |
0.17546131164811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62040h1 |
Quadratic twists by: -4 |