Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850br |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
3339708104250000 = 24 · 315 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1755117,-894524459] |
[a1,a2,a3,a4,a6] |
Generators |
[-1015982:534829:1331] |
Generators of the group modulo torsion |
j |
52492168638015625/293197968 |
j-invariant |
L |
3.8707780608322 |
L(r)(E,1)/r! |
Ω |
0.13116657257172 |
Real period |
R |
7.3776000719492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996444 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19950bw1 2394n1 |
Quadratic twists by: -3 5 |