Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cz |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3108163005802890000 = 24 · 34 · 54 · 72 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-444371,-76226799] |
[a1,a2,a3,a4,a6] |
Generators |
[-536:3103:1] |
Generators of the group modulo torsion |
j |
65553197996161/20996010000 |
j-invariant |
L |
11.946137705412 |
L(r)(E,1)/r! |
Ω |
0.18959821320262 |
Real period |
R |
3.9379780611498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034329 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830bh2 |
Quadratic twists by: -23 |