Atkin-Lehner |
2- 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
10300d |
Isogeny class |
Conductor |
10300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2448 |
Modular degree for the optimal curve |
Δ |
-206000 = -1 · 24 · 53 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -2 2 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-493,4382] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:64:1] [7:35:1] |
Generators of the group modulo torsion |
j |
-6639190016/103 |
j-invariant |
L |
4.8318642418991 |
L(r)(E,1)/r! |
Ω |
2.8990854131037 |
Real period |
R |
0.27778095234563 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200bn1 92700s1 10300c1 |
Quadratic twists by: -4 -3 5 |