Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74480cy |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-53774560000 = -1 · 28 · 54 · 72 · 193 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -3 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1325,21223] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:190:1] |
Generators of the group modulo torsion |
j |
-20524048384/4286875 |
j-invariant |
L |
4.5774980278655 |
L(r)(E,1)/r! |
Ω |
1.0724987128162 |
Real period |
R |
0.17783618975748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18620l1 74480w1 |
Quadratic twists by: -4 -7 |