Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320cg |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
31517087247360000 = 213 · 316 · 54 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79080,530100] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:1944:1] |
Generators of the group modulo torsion |
j |
13352704496588521/7694601378750 |
j-invariant |
L |
7.6536929438518 |
L(r)(E,1)/r! |
Ω |
0.31549734338729 |
Real period |
R |
0.37904899915713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290f4 102960cu3 |
Quadratic twists by: -4 -3 |