Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10710k |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
-198056311290593280 = -1 · 228 · 311 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,140616,-6858432] |
[a1,a2,a3,a4,a6] |
j |
421792317902132351/271682182840320 |
j-invariant |
L |
1.455177775095 |
L(r)(E,1)/r! |
Ω |
0.18189722188688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680fa1 3570x1 53550ds1 74970bf1 |
Quadratic twists by: -4 -3 5 -7 |