Atkin-Lehner |
2+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35816c |
Isogeny class |
Conductor |
35816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8256 |
Modular degree for the optimal curve |
Δ |
-4584448 = -1 · 210 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 2 -4 0 11- 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,156] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:12:1] |
Generators of the group modulo torsion |
j |
-58564/37 |
j-invariant |
L |
6.1579207814383 |
L(r)(E,1)/r! |
Ω |
2.2617470898105 |
Real period |
R |
1.3613194881912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71632d1 35816e1 |
Quadratic twists by: -4 -11 |