Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325i |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2055097416796875 = 39 · 58 · 112 · 472 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82730,8916022] |
[a1,a2,a3,a4,a6] |
Generators |
[74:1750:1] |
Generators of the group modulo torsion |
j |
203608800387/6682225 |
j-invariant |
L |
4.7385610482594 |
L(r)(E,1)/r! |
Ω |
0.46237736997516 |
Real period |
R |
2.5620636633086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116325b2 23265j2 |
Quadratic twists by: -3 5 |