Atkin-Lehner |
2- 3- 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
15990u |
Isogeny class |
Conductor |
15990 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
58851223142400 = 222 · 34 · 52 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15106,-613180] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:350:1] |
Generators of the group modulo torsion |
j |
381218484103879969/58851223142400 |
j-invariant |
L |
7.875351510331 |
L(r)(E,1)/r! |
Ω |
0.4351089945673 |
Real period |
R |
0.20567865044531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920bg1 47970s1 79950d1 |
Quadratic twists by: -4 -3 5 |