Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1872h |
Isogeny class |
Conductor |
1872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2554695936 = 28 · 310 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399,1870] |
[a1,a2,a3,a4,a6] |
Generators |
[30:130:1] |
Generators of the group modulo torsion |
j |
37642192/13689 |
j-invariant |
L |
3.0177014042468 |
L(r)(E,1)/r! |
Ω |
1.3221323684028 |
Real period |
R |
2.2824502874038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
936i2 7488bu2 624f2 46800w2 |
Quadratic twists by: -4 8 -3 5 |