Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
76440bp |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
7.5789352197796E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2877100,-1332830752] |
[a1,a2,a3,a4,a6] |
Generators |
[-649:16170:1] |
Generators of the group modulo torsion |
j |
87450143958975184/25164018140625 |
j-invariant |
L |
9.0847750325609 |
L(r)(E,1)/r! |
Ω |
0.11846526714045 |
Real period |
R |
3.1953018975778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003499 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920c2 |
Quadratic twists by: -7 |