Atkin-Lehner |
2+ 3+ 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
124830d |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
999936 |
Modular degree for the optimal curve |
Δ |
-1062310090752000 = -1 · 214 · 39 · 53 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16755,-1772299] |
[a1,a2,a3,a4,a6] |
j |
-26428973546403/53970944000 |
j-invariant |
L |
1.5759195038608 |
L(r)(E,1)/r! |
Ω |
0.19698991361499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830bu1 |
Quadratic twists by: -3 |