Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
24528l |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-14130784088064 = -1 · 212 · 39 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 0 4 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3701,201789] |
[a1,a2,a3,a4,a6] |
j |
-1369110052864/3449898459 |
j-invariant |
L |
2.4907219988795 |
L(r)(E,1)/r! |
Ω |
0.6226804997199 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1533b1 98112cg1 73584bg1 |
Quadratic twists by: -4 8 -3 |