Atkin-Lehner |
2- 3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
60390bi |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
722512683105468750 = 2 · 36 · 514 · 113 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 3 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-674282,209320939] |
[a1,a2,a3,a4,a6] |
Generators |
[1726:67883:8] |
Generators of the group modulo torsion |
j |
46507209170632894809/991101074218750 |
j-invariant |
L |
11.922363850232 |
L(r)(E,1)/r! |
Ω |
0.28515812086144 |
Real period |
R |
0.99546807609709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710c1 |
Quadratic twists by: -3 |