Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
24600y |
Isogeny class |
Conductor |
24600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-49200 = -1 · 24 · 3 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 1 0 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3,12] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
-10240/123 |
j-invariant |
L |
5.369612812618 |
L(r)(E,1)/r! |
Ω |
3.0322035861991 |
Real period |
R |
0.88543078655033 |
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 |
49200bj1 73800r1 24600u1 |
Quadratic twists by: -4 -3 5 |