Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3990k |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
111720000 = 26 · 3 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-724,-7534] |
[a1,a2,a3,a4,a6] |
Generators |
[48:238:1] |
Generators of the group modulo torsion |
j |
41886766402489/111720000 |
j-invariant |
L |
2.8914899530017 |
L(r)(E,1)/r! |
Ω |
0.92067513226488 |
Real period |
R |
1.5703095759134 |
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 |
31920y1 127680v1 11970cc1 19950cc1 |
Quadratic twists by: -4 8 -3 5 |