Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
7755c |
Isogeny class |
Conductor |
7755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
278691435 = 34 · 5 · 114 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1276,16994] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:150:1] |
Generators of the group modulo torsion |
j |
229771948621249/278691435 |
j-invariant |
L |
2.1150721560841 |
L(r)(E,1)/r! |
Ω |
1.7318675086388 |
Real period |
R |
0.6106333612513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080br4 23265q4 38775l4 85305c4 |
Quadratic twists by: -4 -3 5 -11 |