Atkin-Lehner |
3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019a |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15769728 |
Modular degree for the optimal curve |
Δ |
-2.245892867791E+24 |
Discriminant |
Eigenvalues |
-1 3+ 1 7+ -4 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,26275525,-50102063692] |
[a1,a2,a3,a4,a6] |
j |
14552727415873751/16291291437099 |
j-invariant |
L |
1.1954605790623 |
L(r)(E,1)/r! |
Ω |
0.044276306521056 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110019k1 |
Quadratic twists by: 13 |