Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450er |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
396 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
-7.9569209999714E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2046595,-756761403] |
[a1,a2,a3,a4,a6] |
Generators |
[575:-24984:1] |
Generators of the group modulo torsion |
j |
83228502970940543/69854999176704 |
j-invariant |
L |
9.8748648783437 |
L(r)(E,1)/r! |
Ω |
0.087944561040771 |
Real period |
R |
0.2835482623746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24150k1 2898f1 |
Quadratic twists by: -3 5 |