Atkin-Lehner |
3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cl |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-2238075 = -1 · 32 · 52 · 73 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- -4 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,12,74] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4:1] [2:10:1] |
Generators of the group modulo torsion |
j |
20480/261 |
j-invariant |
L |
6.9854139345027 |
L(r)(E,1)/r! |
Ω |
1.9200842703999 |
Real period |
R |
0.90951918668111 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999980094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575bm1 106575bb1 |
Quadratic twists by: 5 -7 |