Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656dm |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
2.6247886194501E+20 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2889157,1721018099] |
[a1,a2,a3,a4,a6] |
Generators |
[694:7119:1] |
Generators of the group modulo torsion |
j |
25104437248/2470629 |
j-invariant |
L |
6.4062600790654 |
L(r)(E,1)/r! |
Ω |
0.16966635410312 |
Real period |
R |
5.393998215694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2541d1 121968gb1 40656cr1 |
Quadratic twists by: -4 -3 -11 |