Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970ba |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
276070563390313440 = 25 · 38 · 5 · 712 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1335339,-593058267] |
[a1,a2,a3,a4,a6] |
Generators |
[-671:1046:1] |
Generators of the group modulo torsion |
j |
361219316414914078129/378697617819360 |
j-invariant |
L |
3.8829162795657 |
L(r)(E,1)/r! |
Ω |
0.14045234441554 |
Real period |
R |
2.3038159880987 |
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 |
95760eq4 3990y3 59850eu4 83790be4 |
Quadratic twists by: -4 -3 5 -7 |