Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562bg |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-7783655052096 = -1 · 26 · 38 · 73 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57479,5320127] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:3268:1] |
Generators of the group modulo torsion |
j |
-28808239025774377/10677167424 |
j-invariant |
L |
7.0399639666631 |
L(r)(E,1)/r! |
Ω |
0.72667413120523 |
Real period |
R |
0.80732702417187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7854j2 |
Quadratic twists by: -3 |