Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710n |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-564125235609600 = -1 · 216 · 310 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20421,205285] |
[a1,a2,a3,a4,a6] |
Generators |
[71:1382:1] |
Generators of the group modulo torsion |
j |
1291859362462031/773834342400 |
j-invariant |
L |
3.5627198168512 |
L(r)(E,1)/r! |
Ω |
0.31702601390842 |
Real period |
R |
0.93649512988134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680fh1 3570s1 53550di1 74970p1 |
Quadratic twists by: -4 -3 5 -7 |