Atkin-Lehner |
2+ 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344bk |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1455910027264 = 224 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11+ 1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1558177,-748121311] |
[a1,a2,a3,a4,a6] |
Generators |
[-247079:496:343] |
Generators of the group modulo torsion |
j |
1596005697643892137/5553856 |
j-invariant |
L |
4.5952520997125 |
L(r)(E,1)/r! |
Ω |
0.13512799541061 |
Real period |
R |
5.6677771145701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999869771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344db2 3542i2 |
Quadratic twists by: -4 8 |