Atkin-Lehner |
3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35739d |
Isogeny class |
Conductor |
35739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
22408353 = 33 · 112 · 193 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 11+ 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-125,516] |
[a1,a2,a3,a4,a6] |
Generators |
[2:15:1] |
Generators of the group modulo torsion |
j |
1157625/121 |
j-invariant |
L |
2.2976026986471 |
L(r)(E,1)/r! |
Ω |
2.0792017381412 |
Real period |
R |
0.55252038715132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35739h1 35739c1 |
Quadratic twists by: -3 -19 |