Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10725h |
Isogeny class |
Conductor |
10725 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
8575944609375 = 310 · 57 · 11 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5688,85617] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:504:1] |
Generators of the group modulo torsion |
j |
1302528459961/548860455 |
j-invariant |
L |
3.8563798860278 |
L(r)(E,1)/r! |
Ω |
0.66358976702221 |
Real period |
R |
0.29056957156926 |
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 |
32175g2 2145c2 117975bw2 |
Quadratic twists by: -3 5 -11 |