Atkin-Lehner |
3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10527h |
Isogeny class |
Conductor |
10527 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
347391 = 32 · 113 · 29 |
Discriminant |
Eigenvalues |
-1 3- 2 4 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1702,26885] |
[a1,a2,a3,a4,a6] |
j |
409675763483/261 |
j-invariant |
L |
2.5048612254728 |
L(r)(E,1)/r! |
Ω |
2.5048612254728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31581d2 10527i2 |
Quadratic twists by: -3 -11 |