Atkin-Lehner |
2- 3+ 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214w |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
1800 |
Product of Tamagawa factors cp |
deg |
14918400 |
Modular degree for the optimal curve |
Δ |
-4.2376691964514E+26 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 13- -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80031321,-1028081458713] |
[a1,a2,a3,a4,a6] |
Generators |
[12975:337128:1] |
Generators of the group modulo torsion |
j |
-56689636044598180242501446929/423766919645143722926014464 |
j-invariant |
L |
6.9769593726976 |
L(r)(E,1)/r! |
Ω |
0.022317602388735 |
Real period |
R |
0.17367853736582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96642z1 |
Quadratic twists by: -3 |