Atkin-Lehner |
2- 3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450bk |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6952275000000 = 26 · 32 · 58 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-844938,-299292969] |
[a1,a2,a3,a4,a6] |
Generators |
[-531:267:1] |
Generators of the group modulo torsion |
j |
4269512067458414041/444945600 |
j-invariant |
L |
7.8938280566212 |
L(r)(E,1)/r! |
Ω |
0.15746837439271 |
Real period |
R |
2.0887337115796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490m2 |
Quadratic twists by: 5 |