Atkin-Lehner |
3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69825c |
Isogeny class |
Conductor |
69825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-1.5041823898315E+20 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ -1 -4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-448758,601463918] |
[a1,a2,a3,a4,a6] |
Generators |
[1127:39062:1] |
Generators of the group modulo torsion |
j |
-110957572096/1669921875 |
j-invariant |
L |
2.2484479340338 |
L(r)(E,1)/r! |
Ω |
0.15463994761778 |
Real period |
R |
1.817486335741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13965u1 69825cb1 |
Quadratic twists by: 5 -7 |