Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
11550bq |
Isogeny class |
Conductor |
11550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2757330809454375000 = 23 · 316 · 57 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-450813,84609531] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9072:1] |
Generators of the group modulo torsion |
j |
648474704552553481/176469171805080 |
j-invariant |
L |
5.9474160635183 |
L(r)(E,1)/r! |
Ω |
0.23813233460357 |
Real period |
R |
2.0812713490516 |
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 |
92400gn3 34650bj3 2310j3 80850fu3 |
Quadratic twists by: -4 -3 5 -7 |