Atkin-Lehner |
2- 3- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
112554bb |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
59904000 |
Modular degree for the optimal curve |
Δ |
6.3829948131988E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3113550914,66869788782593] |
[a1,a2,a3,a4,a6] |
Generators |
[-1755138543:2159979155431:226981] |
Generators of the group modulo torsion |
j |
431791340635393697629/8256705461568 |
j-invariant |
L |
11.67876866976 |
L(r)(E,1)/r! |
Ω |
0.057167946448036 |
Real period |
R |
17.024063013114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981336 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37518j1 112554m1 |
Quadratic twists by: -3 13 |