Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710bh |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-312303600 = -1 · 24 · 38 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,1181] |
[a1,a2,a3,a4,a6] |
Generators |
[3:25:1] |
Generators of the group modulo torsion |
j |
-594823321/428400 |
j-invariant |
L |
6.4798734803121 |
L(r)(E,1)/r! |
Ω |
1.5840811000847 |
Real period |
R |
0.51132747243541 |
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 |
85680eb1 3570o1 53550x1 74970dq1 |
Quadratic twists by: -4 -3 5 -7 |