Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970w |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8702325117360000 = -1 · 27 · 316 · 54 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,21366,-4329612] |
[a1,a2,a3,a4,a6] |
Generators |
[303:5316:1] |
Generators of the group modulo torsion |
j |
1479634409024351/11937345840000 |
j-invariant |
L |
3.5959076227234 |
L(r)(E,1)/r! |
Ω |
0.20460961869482 |
Real period |
R |
2.1968099823833 |
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 |
95760fl2 3990w2 59850fd2 83790bl2 |
Quadratic twists by: -4 -3 5 -7 |