Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944bw |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-34248531486191616 = -1 · 212 · 38 · 11 · 415 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,8903914] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:2952:1] |
Generators of the group modulo torsion |
j |
-169112377/11469763899 |
j-invariant |
L |
4.1730089686025 |
L(r)(E,1)/r! |
Ω |
0.2933446792461 |
Real period |
R |
0.35564041753273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4059c1 21648bc1 |
Quadratic twists by: -4 -3 |