Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320bt |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1206131097600 = 218 · 32 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6176,-181260] |
[a1,a2,a3,a4,a6] |
Generators |
[207:2730:1] |
Generators of the group modulo torsion |
j |
6361447449889/294465600 |
j-invariant |
L |
7.4392798999781 |
L(r)(E,1)/r! |
Ω |
0.54008242399423 |
Real period |
R |
3.4435854461622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290t2 102960en2 |
Quadratic twists by: -4 -3 |