Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518cd |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
14370048 |
Modular degree for the optimal curve |
Δ |
2.1241722004323E+24 |
Discriminant |
Eigenvalues |
2- 3- -3 4 11- 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-89144474,-316256426791] |
[a1,a2,a3,a4,a6] |
Generators |
[-5967:59431:1] |
Generators of the group modulo torsion |
j |
4143359416745857/112340238336 |
j-invariant |
L |
9.240481797916 |
L(r)(E,1)/r! |
Ω |
0.049214707322661 |
Real period |
R |
3.4770100770598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22506s1 67518z1 |
Quadratic twists by: -3 -11 |