Atkin-Lehner |
2+ 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10374g |
Isogeny class |
Conductor |
10374 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-558870241186123776 = -1 · 212 · 34 · 79 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,195450,13711192] |
[a1,a2,a3,a4,a6] |
Generators |
[245:8613:1] |
Generators of the group modulo torsion |
j |
825722142172265251367/558870241186123776 |
j-invariant |
L |
3.1741944921412 |
L(r)(E,1)/r! |
Ω |
0.18349788231958 |
Real period |
R |
0.080084547490474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82992bt2 31122be2 72618g2 |
Quadratic twists by: -4 -3 -7 |