Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240be |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-49086000 = -1 · 24 · 35 · 53 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41,-366] |
[a1,a2,a3,a4,a6] |
Generators |
[10:18:1] |
Generators of the group modulo torsion |
j |
-488095744/3067875 |
j-invariant |
L |
5.9708990475078 |
L(r)(E,1)/r! |
Ω |
0.84015352369785 |
Real period |
R |
1.4213828494648 |
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 |
6060a1 96960cs1 72720cf1 121200bw1 |
Quadratic twists by: -4 8 -3 5 |