Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123420d |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20275200 |
Modular degree for the optimal curve |
Δ |
9.8041623782967E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26819206,24264499525] |
[a1,a2,a3,a4,a6] |
Generators |
[40516:5557167:64] |
Generators of the group modulo torsion |
j |
622013789615958784/285857131640625 |
j-invariant |
L |
3.5129145472197 |
L(r)(E,1)/r! |
Ω |
0.078770075512103 |
Real period |
R |
3.716422581266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997121627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123420j1 |
Quadratic twists by: -11 |