Atkin-Lehner |
3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120099t |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
808704 |
Modular degree for the optimal curve |
Δ |
1599520156353 = 32 · 76 · 19 · 433 |
Discriminant |
Eigenvalues |
1 3- 0 7- 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1542056,-737180503] |
[a1,a2,a3,a4,a6] |
Generators |
[60388470635179347:-3295860513942436966:17578028078001] |
Generators of the group modulo torsion |
j |
3446954125979451625/13595697 |
j-invariant |
L |
9.8398436280136 |
L(r)(E,1)/r! |
Ω |
0.1354798016527 |
Real period |
R |
24.209866159578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2451b1 |
Quadratic twists by: -7 |