Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710o |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-7807590000 = -1 · 24 · 38 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99,4293] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:69:1] |
Generators of the group modulo torsion |
j |
-148035889/10710000 |
j-invariant |
L |
3.5675769837183 |
L(r)(E,1)/r! |
Ω |
1.08549819338 |
Real period |
R |
0.41082253815294 |
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 |
85680fj1 3570w1 53550dn1 74970v1 |
Quadratic twists by: -4 -3 5 -7 |