Atkin-Lehner |
3- 7+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114513j |
Isogeny class |
Conductor |
114513 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
53088 |
Modular degree for the optimal curve |
Δ |
-13472339937 = -1 · 3 · 78 · 19 · 41 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 0 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-393,6306] |
[a1,a2,a3,a4,a6] |
Generators |
[53:341:1] |
Generators of the group modulo torsion |
j |
-1164625/2337 |
j-invariant |
L |
5.148808037959 |
L(r)(E,1)/r! |
Ω |
1.1194810634276 |
Real period |
R |
1.5330936844451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114513d1 |
Quadratic twists by: -7 |