Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23100q |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
87165193500000000 = 28 · 35 · 59 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-126708,-9938088] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:2332:1] |
Generators of the group modulo torsion |
j |
449955166736/174330387 |
j-invariant |
L |
4.3339775349259 |
L(r)(E,1)/r! |
Ω |
0.26151160127588 |
Real period |
R |
4.1431981542893 |
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 |
92400hw2 69300cm2 23100bg2 |
Quadratic twists by: -4 -3 5 |