Atkin-Lehner |
3- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
45423i |
Isogeny class |
Conductor |
45423 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-9353706588553383 = -1 · 38 · 712 · 103 |
Discriminant |
Eigenvalues |
1 3- -4 7- 2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-41904,-5695061] |
[a1,a2,a3,a4,a6] |
Generators |
[354319238:-6848853103:753571] |
Generators of the group modulo torsion |
j |
-94881210481/109060623 |
j-invariant |
L |
4.5765418241236 |
L(r)(E,1)/r! |
Ω |
0.15972788047957 |
Real period |
R |
14.326058200898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15141f1 6489c1 |
Quadratic twists by: -3 -7 |