Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920dq |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-1440417686400000 = -1 · 210 · 312 · 55 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18475,-1543077] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2475:1] |
Generators of the group modulo torsion |
j |
681010157060096/1406657896875 |
j-invariant |
L |
9.1392971426011 |
L(r)(E,1)/r! |
Ω |
0.24940040461088 |
Real period |
R |
0.61075129081917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920ff1 4620b1 |
Quadratic twists by: -4 8 |