Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3990w |
Isogeny class |
Conductor |
3990 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
Δ |
-11937345840000 = -1 · 27 · 310 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2374,160356] |
[a1,a2,a3,a4,a6] |
Generators |
[88:-1070:1] |
Generators of the group modulo torsion |
j |
1479634409024351/11937345840000 |
j-invariant |
L |
5.610008629805 |
L(r)(E,1)/r! |
Ω |
0.52162608568913 |
Real period |
R |
0.15364066833411 |
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 |
31920bc2 127680bc2 11970w2 19950d2 |
Quadratic twists by: -4 8 -3 5 |