Atkin-Lehner |
5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19435b |
Isogeny class |
Conductor |
19435 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
180401986375 = 53 · 137 · 23 |
Discriminant |
Eigenvalues |
-1 1 5+ -1 6 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2116,31225] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:110:1] |
Generators of the group modulo torsion |
j |
217081801/37375 |
j-invariant |
L |
3.4380626219324 |
L(r)(E,1)/r! |
Ω |
0.96595573725067 |
Real period |
R |
1.7796170618117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97175g1 1495d1 |
Quadratic twists by: 5 13 |