Atkin-Lehner |
2- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
24850t |
Isogeny class |
Conductor |
24850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
1565860625000 = 23 · 57 · 7 · 713 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -3 7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3338,42031] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:213:1] |
Generators of the group modulo torsion |
j |
263251475929/100215080 |
j-invariant |
L |
11.25988341433 |
L(r)(E,1)/r! |
Ω |
0.77161320331601 |
Real period |
R |
0.81070292198939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4970c1 |
Quadratic twists by: 5 |