Atkin-Lehner |
3+ 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10335d |
Isogeny class |
Conductor |
10335 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-6370946963671875 = -1 · 3 · 58 · 13 · 535 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 -1 13+ 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-68160,7875131] |
[a1,a2,a3,a4,a6] |
j |
-35020216697719361536/6370946963671875 |
j-invariant |
L |
3.253570685484 |
L(r)(E,1)/r! |
Ω |
0.4066963356855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31005m1 51675x1 |
Quadratic twists by: -3 5 |