Atkin-Lehner |
2- 3- 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
62604c |
Isogeny class |
Conductor |
62604 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1436160 |
Modular degree for the optimal curve |
Δ |
2.9916622043541E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-776640,12162409] |
[a1,a2,a3,a4,a6] |
Generators |
[2786:139545:1] |
Generators of the group modulo torsion |
j |
4441559302930432000/2564868145022397 |
j-invariant |
L |
6.9320104053229 |
L(r)(E,1)/r! |
Ω |
0.17775427974963 |
Real period |
R |
6.4996188510285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20868a1 |
Quadratic twists by: -3 |