Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
460d |
Isogeny class |
Conductor |
460 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24 |
Modular degree for the optimal curve |
Δ |
-9200 = -1 · 24 · 52 · 23 |
Discriminant |
Eigenvalues |
2- -1 5- -2 -4 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10,17] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-5:1] |
Generators of the group modulo torsion |
j |
-7626496/575 |
j-invariant |
L |
1.6666314042944 |
L(r)(E,1)/r! |
Ω |
4.0282816130043 |
Real period |
R |
0.068955432465054 |
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 |
1840i1 7360b1 4140d1 2300d1 |
Quadratic twists by: -4 8 -3 5 |