Atkin-Lehner |
2+ 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10458o |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-1004156745984 = -1 · 28 · 39 · 74 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 5 -2 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2457,-11907] |
[a1,a2,a3,a4,a6] |
Generators |
[126:1449:1] |
Generators of the group modulo torsion |
j |
2249635843727/1377444096 |
j-invariant |
L |
4.2807343699809 |
L(r)(E,1)/r! |
Ω |
0.50823408444027 |
Real period |
R |
0.26321129014641 |
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 |
83664bt1 3486r1 73206z1 |
Quadratic twists by: -4 -3 -7 |