Atkin-Lehner |
2- 3- 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370t |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
283127736960000 = 210 · 36 · 54 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16416,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:936:1] |
Generators of the group modulo torsion |
j |
489246126479774209/283127736960000 |
j-invariant |
L |
7.4987864979565 |
L(r)(E,1)/r! |
Ω |
0.46339583089767 |
Real period |
R |
0.53940828394523 |
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 |
70110w2 116850m2 |
Quadratic twists by: -3 5 |