Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970bp |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2254302970368750000 = 24 · 318 · 58 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-800438,-265803883] |
[a1,a2,a3,a4,a6] |
Generators |
[-437:843:1] |
Generators of the group modulo torsion |
j |
77799851782095807001/3092322318750000 |
j-invariant |
L |
6.2405566177791 |
L(r)(E,1)/r! |
Ω |
0.16000386787761 |
Real period |
R |
2.4376585002903 |
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 |
95760dp4 3990p3 59850bs4 83790fj4 |
Quadratic twists by: -4 -3 5 -7 |