Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562bd |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
7311360 |
Modular degree for the optimal curve |
Δ |
-1.0829476280829E+24 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- -5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-163253144,804461629339] |
[a1,a2,a3,a4,a6] |
Generators |
[-8363:1263065:1] |
Generators of the group modulo torsion |
j |
-660056090712855266747143737/1485524867054684667904 |
j-invariant |
L |
6.0715940479624 |
L(r)(E,1)/r! |
Ω |
0.087415601690505 |
Real period |
R |
0.062014857867654 |
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 |
2618a1 |
Quadratic twists by: -3 |