Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3192l |
Isogeny class |
Conductor |
3192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
25740288 = 210 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 6 -2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152,732] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:32:1] |
Generators of the group modulo torsion |
j |
381775972/25137 |
j-invariant |
L |
3.2973611063729 |
L(r)(E,1)/r! |
Ω |
2.0799151132661 |
Real period |
R |
1.5853344616526 |
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 |
6384l1 25536bd1 9576j1 79800p1 |
Quadratic twists by: -4 8 -3 5 |