Atkin-Lehner |
2- 3- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850ci |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
1800 |
Product of Tamagawa factors cp |
deg |
300672000 |
Modular degree for the optimal curve |
Δ |
5.8791807908024E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4813772463,123143878383417] |
[a1,a2,a3,a4,a6] |
Generators |
[22662:5057469:1] |
Generators of the group modulo torsion |
j |
789514954943448433109847035689/37626757061135661268992000 |
j-invariant |
L |
14.995346509605 |
L(r)(E,1)/r! |
Ω |
0.028685775403682 |
Real period |
R |
1.1616556217312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970a1 |
Quadratic twists by: 5 |