Atkin-Lehner |
2- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116032ba |
Isogeny class |
Conductor |
116032 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
71319764992 = 214 · 76 · 37 |
Discriminant |
Eigenvalues |
2- 1 -4 7- 5 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1045,-2381] |
[a1,a2,a3,a4,a6] |
Generators |
[-9870:23491:343] |
Generators of the group modulo torsion |
j |
65536/37 |
j-invariant |
L |
6.9128573119628 |
L(r)(E,1)/r! |
Ω |
0.90467774244619 |
Real period |
R |
7.6412373848699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998916848 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116032c1 29008m1 2368l1 |
Quadratic twists by: -4 8 -7 |