Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285f |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2132016574275225 = 32 · 52 · 112 · 238 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-62168,5511363] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:3015:1] |
Generators of the group modulo torsion |
j |
179501589721/14402025 |
j-invariant |
L |
4.3195227044487 |
L(r)(E,1)/r! |
Ω |
0.4530643007513 |
Real period |
R |
4.7670084519837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005792 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3795c2 |
Quadratic twists by: -23 |