Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1911f |
Isogeny class |
Conductor |
1911 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
123884397 = 34 · 76 · 13 |
Discriminant |
Eigenvalues |
1 3- -2 7- 4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3407,76241] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:295:1] |
Generators of the group modulo torsion |
j |
37159393753/1053 |
j-invariant |
L |
3.8249482326047 |
L(r)(E,1)/r! |
Ω |
1.7284985358133 |
Real period |
R |
1.1064366423674 |
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 |
30576bs4 122304bz4 5733g3 47775u4 |
Quadratic twists by: -4 8 -3 5 |