Atkin-Lehner |
2- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23188b |
Isogeny class |
Conductor |
23188 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
51895115008 = 28 · 113 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 1 0 -1 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10293,-405241] |
[a1,a2,a3,a4,a6] |
Generators |
[-67784430:13068523:1157625] |
Generators of the group modulo torsion |
j |
471142039552000/202715293 |
j-invariant |
L |
5.7815088489749 |
L(r)(E,1)/r! |
Ω |
0.47399281682837 |
Real period |
R |
12.197460897532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92752n2 |
Quadratic twists by: -4 |