Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650cj |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
-3.957512494503E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -7 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-131286492,653370019416] |
[a1,a2,a3,a4,a6] |
Generators |
[-4377:1071834:1] |
Generators of the group modulo torsion |
j |
-878812616455788778465/138974375664304488 |
j-invariant |
L |
3.6999462821818 |
L(r)(E,1)/r! |
Ω |
0.062345674823769 |
Real period |
R |
0.82424551427726 |
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 |
11550cs2 34650dg2 |
Quadratic twists by: -3 5 |