Atkin-Lehner |
3+ 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10695a |
Isogeny class |
Conductor |
10695 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25536 |
Modular degree for the optimal curve |
Δ |
-73517973573375 = -1 · 37 · 53 · 234 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 -4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,229,-412432] |
[a1,a2,a3,a4,a6] |
Generators |
[16720:169843:125] |
Generators of the group modulo torsion |
j |
1327735672271/73517973573375 |
j-invariant |
L |
1.9015391624871 |
L(r)(E,1)/r! |
Ω |
0.28267765983707 |
Real period |
R |
6.7268816488118 |
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 |
32085f1 53475j1 |
Quadratic twists by: -3 5 |