Atkin-Lehner |
3+ 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10695b |
Isogeny class |
Conductor |
10695 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2306109375 = 32 · 56 · 232 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 -4 -4 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-345,720] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:53:1] [-12:63:1] |
Generators of the group modulo torsion |
j |
4542131166481/2306109375 |
j-invariant |
L |
3.3730373892085 |
L(r)(E,1)/r! |
Ω |
1.2867254042828 |
Real period |
R |
0.43690199659564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32085b2 53475k2 |
Quadratic twists by: -3 5 |