Atkin-Lehner |
2- 3- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
127794bv |
Isogeny class |
Conductor |
127794 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
36864000 |
Modular degree for the optimal curve |
Δ |
4.3362954856034E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42462813,36123146673] |
[a1,a2,a3,a4,a6] |
Generators |
[-333453198:-47102782835:132651] |
Generators of the group modulo torsion |
j |
179981716945286265625/92171628916958208 |
j-invariant |
L |
17.397896957607 |
L(r)(E,1)/r! |
Ω |
0.068550908196056 |
Real period |
R |
12.689763996626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726b1 |
Quadratic twists by: -19 |