Atkin-Lehner |
2- 3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bs |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
1261837912500000 = 25 · 33 · 58 · 113 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-153331338,730729319031] |
[a1,a2,a3,a4,a6] |
Generators |
[7149:-3537:1] [7205:-11853:1] |
Generators of the group modulo torsion |
j |
25515052283021802449294809/80757626400 |
j-invariant |
L |
13.41109860237 |
L(r)(E,1)/r! |
Ω |
0.22797333475604 |
Real period |
R |
1.9609162648822 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490k2 |
Quadratic twists by: 5 |