Atkin-Lehner |
2+ 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
10810d |
Isogeny class |
Conductor |
10810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-11685610 = -1 · 2 · 5 · 232 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,31,143] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:11:1] |
Generators of the group modulo torsion |
j |
3235225239/11685610 |
j-invariant |
L |
3.4149338946225 |
L(r)(E,1)/r! |
Ω |
1.6069816678669 |
Real period |
R |
2.1250608908037 |
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 |
86480i2 97290bc2 54050h2 |
Quadratic twists by: -4 -3 5 |