Atkin-Lehner |
2- 3+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102u |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-3759912 = -1 · 23 · 33 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 -5 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59,211] |
[a1,a2,a3,a4,a6] |
Generators |
[13:32:1] |
Generators of the group modulo torsion |
j |
-827936019/139256 |
j-invariant |
L |
9.6095623078717 |
L(r)(E,1)/r! |
Ω |
2.394862534201 |
Real period |
R |
0.33438113777019 |
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 |
24102c1 |
Quadratic twists by: -3 |