Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144df |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
4982483936719872 = 210 · 38 · 114 · 373 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54469,3504347] |
[a1,a2,a3,a4,a6] |
Generators |
[38:1221:1] |
Generators of the group modulo torsion |
j |
17453395699253248/4865706969453 |
j-invariant |
L |
4.4060270785528 |
L(r)(E,1)/r! |
Ω |
0.40253461036294 |
Real period |
R |
0.22803562348509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144j1 19536r1 |
Quadratic twists by: -4 8 |