Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350cc |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14784000 |
Modular degree for the optimal curve |
Δ |
-2.2495281626444E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11+ 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,69331383,-51977241459] |
[a1,a2,a3,a4,a6] |
Generators |
[6658:836159:1] |
Generators of the group modulo torsion |
j |
129427253675226198095/78995776356237312 |
j-invariant |
L |
3.5962860935379 |
L(r)(E,1)/r! |
Ω |
0.039257291793653 |
Real period |
R |
5.7255065384578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999739 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450cw1 64350dw1 |
Quadratic twists by: -3 5 |