Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710m |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-44971718400 = -1 · 28 · 310 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,126,-10220] |
[a1,a2,a3,a4,a6] |
Generators |
[36:182:1] |
Generators of the group modulo torsion |
j |
302111711/61689600 |
j-invariant |
L |
3.7304510193263 |
L(r)(E,1)/r! |
Ω |
0.53580417826521 |
Real period |
R |
1.7405850731719 |
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 |
85680ff1 3570r1 53550dh1 74970o1 |
Quadratic twists by: -4 -3 5 -7 |