Atkin-Lehner |
2+ 3+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
62118d |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-27261377805312 = -1 · 210 · 33 · 76 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10452,484560] |
[a1,a2,a3,a4,a6] |
j |
-4677152425702875/1009680659456 |
j-invariant |
L |
2.5505499082795 |
L(r)(E,1)/r! |
Ω |
0.63763747830617 |
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 |
62118z1 |
Quadratic twists by: -3 |