Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
2478h |
Isogeny class |
Conductor |
2478 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
719373312 = 210 · 35 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-224,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:40:1] |
Generators of the group modulo torsion |
j |
1243337227777/719373312 |
j-invariant |
L |
4.7601274267098 |
L(r)(E,1)/r! |
Ω |
1.3581080913244 |
Real period |
R |
0.14019877967351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19824o1 79296f1 7434c1 61950e1 |
Quadratic twists by: -4 8 -3 5 |