Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bk |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
169222208093712900 = 22 · 32 · 52 · 74 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-197593,27391208] |
[a1,a2,a3,a4,a6] |
Generators |
[154:710:1] |
Generators of the group modulo torsion |
j |
5763259856089/1143116100 |
j-invariant |
L |
7.4535971252415 |
L(r)(E,1)/r! |
Ω |
0.30527078576069 |
Real period |
R |
3.0520432391464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030754 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830j2 |
Quadratic twists by: -23 |